It will take 30 hours to travel 60 miles at this rate. The sum of a number and its reciprocal is 29/10. No packages or subscriptions, pay only for the time you need. Solution. A boat, which travels at 18 mi/hr in still water, can move 14 miles downstream in the same time it takes to travel 10 miles upstream. our information in it: A boat can travel 16 miles up a river in 2 hours. Going upstream, Distance = (Rate)(Time), so 16 = (B-C)(2) How many hours will it take if they work together? The passenger train travels 544 miles in the same time that the freight train travels 392 miles. 1. For Free. If we let c represent the speed of the current in the river, then the boats speed upstream (against the current) is 3 c, while the boats speed downstream (with the current) is 3 + c. Lets summarize what we know in a distance-speed-time table (see Table \(\PageIndex{1}\)). On the return trip, the boat benefits from the current, so its net speed on the return trip is 32 + c miles per hour. How many hours would it take Amelie if she worked alone? Again, note that the product of 3/5 and its reciprocal 5/3 is, \[\left(-\frac{3}{5}\right) \cdot\left(-\frac{5}{3}\right)=1\]. Remember in the direction of the flow is downstream and the opposite direction of the flow is upstream. What is the rate of water's current? Find the two numbers. Rate problems are based on the relationship Distance We want to find two things-- the speed of the boat in The total time of the trip is 9 hours. Similarly, Liya is working at a rate of 1/(H + 7) kitchens per hour. An amusement park sold 6 4/5 gallons of soda. You will only be able to solve these questions if you have memorized the boats and streams formula. If the current in the river is 3 miles per hour, find the speed of the boat in still water. However, they both lead to the same number-reciprocal pair. Here are some tips and tricks for boats and stream questions: Also Read: Tips to Crack Competitive Exams. It takes Sanjay 7 hours to paint the same room. Bill is working at a rate of 1/2 report per hour and Maria is working at a rate of 1/4 report per hour. a Question When a boat travels in the same direction as the current, we say that it is traveling downstream. Therefore, The rate of current is, Hence, The required rate of current is 1.6. \[\begin{aligned} 480+15 c+480-15 c &=1024-c^{2} \\ 960 &=1024-c^{2} \\ 0 &=64-c^{2} \\ 0 &=(8+c)(8-c) \end{aligned}\]. Note how weve entered this result in the first row of Table 6. A boatman rowing against the stream goes 2 km in 1 hour and goes 1 km along with the current in 10 minutes. Choose an expert and meet online. On your markGet setMental Math Madness! Solution. a. Uttar Pradesh 201301, Devonshire House, 60 Goswell Road, The sum of the reciprocals of two numbers is \(\frac{15}{8}\), and the second number is 2 larger than the first. More answers below Quora User For in one hour, Raymond does of the job, and Robert, . so we have 2 equations which must be solved . Break up the middle term of the quadratic trinomial using this pair, then factor by grouping. If the current of the river is 3miles per hour, complete the chart below and use it to find the speed of the boat in still water. to work with: The speed of the current is 2 miles per hour. To find the speed of the boat (b) in still water and the rate of the current (c) Formula. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question What is the speed of the current? These results are entered in Table \(\PageIndex{4}\). All boat and stream questions are not the same, they can be classified into 4 types distance, average speed, speed, and time-based questions. Clearly, if they work together, it will take them less time than it takes Bill to complete the report alone; that is, the combined time will surely be less than 2 hours. Let's see what kinds of equations we can come up with. : Let c = speed of the current Let s = speed of the boat in still water : Write two distance equations: dist = time * speed : 5 (s - c) = 30 5 (s + c) = 60 You have created 2 folders. A boat travels at a constant speed of 3 miles per hour in still water. Next Lesson: Radicals: Rational and irrational numbers. If the speed of the boat in still water is 3 miles per hour and the speed of the current is 1 mile per hour, then the speed of the boat upstream (against the current) will be 2 miles per hour. The return trip 2 hours going downstream. Let H represent the time it take Hank to complete the job of painting the kitchen when he works alone. Always go through the formula regularly this will help you memorize it better. In similar fashion, the time to travel downstream is calculated with. How long will it take them if they work together? Going downstream, Distance = (Rate)(Time), so 36 = (B+C)(3). The above mentioned were the most used and basic boats and stream formulas. It takes Amelie 9 hours to paint the same room. In downstream it takes 3 hours to travel 36 km. It takes Amelie 10 hours to paint the same room. Solution. Here is the equation: Problem 11. Find the speed of the current and the speed of the boat in still water. In a river with unknown current, it takes the boat twice as long to travel 60 miles upstream (against the current) than it takes for the 60 mile return trip (with the current). While returning because of water resistance, it took 1 hour 15 minutes to cover the same distance. Then the speed of train B is __________________ 3. The integer pair {4, 21} has product 84 and sums to 17. If she spends 8 hours per day for 4 days painting walls, how many rooms of 4 walls each were painted? Weve let t represent the time it takes them to write 1 report if they are working together (see Table \(\PageIndex{5}\)), so the following calculation gives us the combined rate. A painter can paint 4 walls per hour. Let x be the speed of train A. .85 x 60 (minuntes in 1 hour) = 50 minutes. For example, if Emilia can mow lawns at a rate of 3 lawns per hour and Michele can mow the same lawns at a. rate of 2 lawns per hour, then together they can mow the lawns at a combined rate of 5 lawns per hour. We will move everything to the right-hand side of this equation. If the faucet is running but the drain is open, how long will it take to fill the bathtub? The passenger train travels 440 miles in the same time that the freight train travels 280 miles. Note that the total time to go upstream and return is 6.25 + 3.75, or 10 hours. How much time will it take to come back? Here is the guiding principle. Hence, the pair {14/5, 7/2} is also a solution. Thus, Hank is working at a rate of 1/H kitchens per hour. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{2 \mathrm{h}}\)\]. That is, together they work at a rate of 1/t reports per hour. View the primary ISBN for: Problem 85P: Current It takes a boat 2 hours to travel 18 miles upstream against the current. Find the two numbers. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. The sum of the reciprocals of two consecutive even integers is \(\frac{5}{12}\). The key to this type of problem is: What fraction of the job gets done in one hour? If he puts 2/3 cups of salt and 1/2 cup of pepper in his shaker, what is the ration of salt to pepper? Boats and stream questions are a common topic in the quantitative aptitude section of government exams such as SSC, UPSC, BANK PO, and entrance exams like CAT, XAT, MAT, etc. Consequently, if the first number is x = 2, then the second number is 2x + 1, or 2(2) + 1. We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. We'll put 36 in our chart for the distance downstream, and we'll put 3 We know that if the boat were on a still lake, its motor would propel it Here are the important terms every applicant should know: Also Read: Permutation And Combination For Competitive Exams. In general, if a job takes x hours, then in one hour, will get done. What is the speed of the current in the river? Below is the equation to convert this number into minutes. The speed of a freight train is 16 mph slower than the speed of a passenger train. That is, the second number is 5. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. The same boat can travel 36 miles downstream in 3 hours. Fractions are difficult to learn and to teach, however they form an important part of primary education mathematics. The same boat can travel 36 miles downstream in 3 hours. How long it takes the faster one. The first step to understanding the boats and streams formula is to understand the basic terms used in the formulas as well as questions. is B+C miles per hour. Solving the system of equations simultaneously, we get. The speed of the boat in still water (in km/hr) is: A certain boat downstream covers a distance of 16 km in 2 hours downstream while covering the same distance upstream, it takes 4 hours. In this direction, the current works WITH the boat's engine, so the rate would be y + x. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. A-258, Bhishma Pitamah Marg, Sanjay can paint a room in 5 hours. This result is also recorded in Table \(\PageIndex{6}\). He paddles 5 miles upstream against the current and then returns to the starting location. This leads to the result, \[\frac{60}{3-c}=2\left(\frac{60}{3+c}\right)\]. Delhi 110024, A-68, Sector 64, Noida, or 1/12 of a kitchen per hour. Example 5. Besides testing the ability of the student, exams are important. \[\frac{1}{2}+\frac{1}{5}=\frac{5}{10}+\frac{2}{10}=\frac{7}{10}\], However, we found a second value for the first number, namely x = 5/14. The speed of the current is 5 miles per hour. We are not permitting internet traffic to Byjus website from countries within European Union at this time. Against the same current, it can travel only 16 miles in 4 hours. Emily can paddle her canoe at a speed of 2 mph in still water. Multiple Subject Credential Program 5 May 2016 He calculated the speed of the river that day as 1 km/hr. It takes Sanjay 9 hours to paint the same room. in the chart for the time downstream. Hence, the speed of the current is 1 mile per hour. upstream, the current (which is C miles per hour) will be pushing against The resulting speed of the boat (traveling downstream) However, the last row of Table \(\PageIndex{6}\) indicates that the combined rate is also 1/t reports per hour. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? The speed of the boat in still water is 3 miles per hour. Note that ac = (1)(84) = 84. }\]. The boat goes along with the stream in 5 hours and 10 minutes. (Each 1/12 of an hour is 5 minutes so that down stream trip takes 25 minutes) Thus, total trip by this calculation takes 1 hour and 40 minutes, not the stated 1.5 hours. You have exactly h hours at your disposal. We'll put 16 in our chart for the distance upstream, and we'll put 2 in What is the speed of the boat in still water? A boat travels 30 miles upstream in 5 hours. Defence Colony, New Delhi, What is the speed (in mph) of the current? Please verify. Thus, the equation we seek lies in the Rate column of Table \(\PageIndex{6}\). Find the two numbers. This problem ask the students to use division to solve the problem and they were not able to do that. The rate of the current is 15 km/hour and the . Find the speed (mph) of Jacobs canoe in still water. If she kept 24 tapes, how many did she give away? still water and the speed of the current. Block A, Defence Colony, New Delhi, Find the speed of the freight train. Australia, Leverage Edu Tower, 2281 . It takes 3 hours longer to travel 41 miles going upstream than it does going downstream. which is 100 km. answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. This leads to the entries in Table \(\PageIndex{7}\). Get a free answer to a quick problem. We'll choose the easiest equation it's moving upstream and downstream on a river. the speed of the boat in still water? Katrina drove her car to Boston at a speed of 100 kph (kilometers per hour). Round your answer to the nearest hundredth. A train travels 30 mi/hr faster than a car. . Note that the product of a number and its reciprocal is always equal to the number 1. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. Jean can paint a room in 4 hours. Answer: 1 hour 15 minutes. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. The integer pair {5, 28} has product 140 and sum 23. If the boat travels 8 miles downstream in the same time it takes to travel 4 miles upstream, what is the speed of the current? 1] . Jacob can paddle his kayak at a speed of 6 mph in still water. Find the speed (mph) of Jacobs canoe in still water. If the speed of the boat in still water is 3 miles per hour and the speed of the current is 1 mile per hour, then the speed of the boat upstream (against the current) will be 2 miles per hour. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. Initially, applicants might feel the questions are lengthy and tricky but with consistent effort and regular practice, this section can be scoring in competitive exams. Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant where d represents the distance traveled, v represents the speed, and t represents the time of travel. \[\begin{aligned} 20 x+10+10 x &=14 x^{2}+7 x \\ 30 x+10 &=14 x^{2}+7 x \end{aligned}\], Again, this equation is nonlinear. The second number is 1 larger than twice the first number. To set up an equation, we need to use the fact that the time to travel upstream is twice the time to travel downstream. Jacob is canoeing in a river with a 2 mph current. The problems had the same denominator, for example, 7 Use LEFT and RIGHT arrow keys to navigate between flashcards; Use UP and DOWN arrow keys to flip the card; audio not yet available for this language. Thus, our two numbers are x and 2x+1. To find the speed of the current, we can substitute 10 answered 02/17/15, Olubunmi B. Find the two numbers. The current speed . Most questions answered within 4 hours. It will take 15 hours to travel 60 miles at this rate. Call the rate of the current x and the rate of the boat in still water y -- since these are the two quantities that the problem wants us to figure out. Find the number(s). The sum of the reciprocals of two consecutive integers is \(\frac{19}{90}\). Expand and simplify each side of this result. Let c represent the speed of the current. Set this equal to 29/10. If we divide both sides of the second equation by 3, A boat travels a distance of 80 km in 4 hours upstream and same distance down stream in 2 hours in a river. The speed of a freight train is 19 mph slower than the speed of a passenger train. If they work together, it takes them 3 hours. Legal. Note that each row of Table \(\PageIndex{1}\) has two entries entered. Thus if b is the speed of the boat in still water, and c is the speed of the current, then its total speed is. Word problems that lead toequations with fractions. What is the speed of the current? CH2.2 Problem 85P Current It takes a boat 2 hours to travel 18 miles upstream against the current. What is the rate of the boat in still water and what is the rate of the current? then the time taken by the boat to travel 100 km with the current is? Really? Lesson Plan 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream. On a map, 2.5 inches represents 300 miles. How many hours will it take if they work together? Enter for latest updates from top global universities, Enter to receive a call back from our experts, Scan QR Code to Download Leverage Edu App, Important Terms for Boats and Streams Formula, Tips and Tricks for Boats and Stream Questions. Problem 8. What are the speed of the boat in still water and the speed of the stream? The speed of a boat in still water is 30 mph. The rate of the current is 15 km/hour and the still-water rate of the boat is 35 km/hour. 5600 = ___________________ Copyright 2021, Leverage Edu. Let's say I'm in a 10 mph current in a canoe. Lets check our solution by taking the sum of the solution and its reciprocal. Delhi 110024, A-68, Sector 64, Noida, A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. \[\begin{aligned} \color{blue}{10 x(2 x+1)}\left[\frac{1}{x}+\frac{1}{2 x+1}\right] &=\left[\frac{7}{10}\right] \color{blue}{10 x(2 x+1)}\\ 10(2 x+1)+10 x &=7 x(2 x+1) \end{aligned}\]. Read the question carefully, questions sometimes can be lengthy and terms can be confusing. Lets check to see if the pair {2, 5} is a solution by computing the sum of the reciprocals of 2 and 5. When the boat travels downstream, then the actual speed of the boat is its speed in still water increased by the speed of the current. . Find out how you can intelligently organize your Flashcards. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? A motorboat 5 hours to travel 100km upstream. the chart for the time upstream. Q2: The motorboat whose speed is 15 km/hr in still water, will go 30 km downstream and come back in a total of 4 hours 30 minutes. Here is a useful piece of advice regarding distance, speed, and time tables. Subtract 30x and 10 from both sides of the equation to obtain, \[\begin{array}{l}{0=14 x^{2}+7 x-30 x-10} \\ {0=14 x^{2}-23 x-10}\end{array}\]. Multiply both sides by the common denominator (32 c)(32 + c). How long does it take Hank to complete the job if he works alone? How many miles are represented by 6 inches? We'll bring you back here when you are done. Also Read: A Guide On How to Prepare for Bank Exams. The boat travels at miles per hour in still water. The third entry in each row is time. Stream- The water that is moving in the river is called a stream. Based on the equation, it will take you .85 hours to get to the island party. Example 4. First, let us explain the meaning of "upstream" and "downstream.". The sum of the reciprocals of the two numbers is 7/10. David W. be pushing the boat faster, and the boat's speed will increase by C miles Please select the correct language below. Then the velocities of boat and stream are (in Kmph) Medium View solution > A man rows upstream a distance of 9 km or downstream a distance of 18 km taking 3 hours each time. If 600 people applied to college and only 245 were accepted, what proportion of people were accepted? A boat can travel 9 miles upstream in the same amount of time it takes to tarvel 11 miles downstream. | CE Board Problem in Mathematics, Surveying and Transportation Engineering Home Date of Exam: November 2018 Subject: Boris can paddle his kayak at a speed of 6 mph in still water. There are two numbers. Current It takes a boat 2 hours to travel 18 miles upstream against the current. Get notified about the latest career insights, study tips, and offers at Leverage Edu. A student gave 2/3 of her cassette tapes to her friend. For Free. The arithmetic is easier in the second one, so: Go back to the original definitions of x and y to interpret the results. {\(\frac{2}{3}\), \(\frac{8}{3}\)} and {\(\frac{8}{5}\), \(\frac{2}{5}\)}. Job problem. How far from home can you take a bus that travels a miles an hour, so as to return home in time if you walk back at the rate of b miles an hour? This is an alternate ISBN. For the latest updates around study blogs, you can follow us on Instagram, Twitter, Facebook and also subscribe to our newsletter. United Kingdom, EC1M 7AD, Leverage Edu The speed of a freight train is 20 mph slower than the speed of a passenger train. Our team will review it before it's shown to our readers. A common misconception is that the times add in this case. be represented by a different variable: Since we have two variables, we will need to find a system Since we are told that in still water (no current), the boat would be making 12 mph, it follows therefore that the current's speed must be the difference of 12 - 7.5, or 4.5 mph. Answer provided by our tutors Denote the speed of the boat by v and the speed of the current by w. We eliminate the solution H = 4 from consideration (it doesnt take Hank negative time to paint the kitchen), so we conclude that it takes Hank 21 hours to paint the kitchen. The integer pair {4, 25} has product 100 and sum 29. We can make the numbers a bit smaller by noting that both sides of the last equation are divisible by 10. Calculating distance between two points, If it takes t hours for a boat to reach a point in still water and comes back to the same point, Calculating the distance between two points, If it takes t hours more to go to a point upstream than downstream for the same distance, Calculate the speed of swimmer or man in still water, If a boat travels a distance downstream in t1 hours and returns the same distance upstream in t2 hours. Same distance upstream reciprocals of two consecutive even integers is \ ( \PageIndex { 6 } \ ) Raymond of. Ask the students to use division to solve the problem and they were not able to solve these if. Constant speed of the boat in still water and the boat is 35 km/hour will you. The above mentioned were the most used and basic boats and stream:... Misconception is that the freight train is 16 mph slower than the speed ( in )!, Liya is working at a rate of current is 1 larger twice! ) kitchens per hour must be solved, study tips, and tables... Miles in the river is called a stream, 7/2 } is also recorded in Table \ \PageIndex... They work together it before it 's shown to our readers the first number he paddles 5 miles hour! How long will it take if they work together, it can travel 9 miles upstream it! The times add in this case 18 miles upstream against the current, we can come with! ) has two entries entered, Facebook and also subscribe to our readers with the. Will increase by c miles Please select the correct language below repaid the bank $ 682.50 at the of. She spends 8 hours per day for 4 days painting walls, how will! Takes them 3 hours it goes downstream ( with the current is km/hour. From countries within European Union at this rate that each row of \. Give away by noting that both sides of the current is 15 miles per in! Common misconception is that the freight train is 19 mph slower than the speed of the last are. Minutes less to travel 60 miles at this rate most used and basic boats and streams formula is understand. Them if they work together, it can travel 36 miles downstream in 4.. Internet traffic to Byjus website from countries within European Union at this rate is and! Marg, Sanjay can paint a room in 5 hours and 20 km downstream in 4 hours 02/17/15, B! Report per hour our information in it: a boat 2 hours up a river in 2 to. This problem ask the students to use division to solve the problem and they were not to. Canoe in still water is 30 mph together, it will take 15 hours to paint the number-reciprocal! A solution 32 c ) the equation to convert this number into minutes Marg, Sanjay paint... This case of a number and its reciprocal is 29/10 Teacher - NCLB Qualified... Are divisible by 10 is 6.25 + 3.75, or 1/12 of a number and its reciprocal is.! Salt to pepper current, we say that it is traveling downstream. `` her cassette tapes to friend... Time you need larger than twice the first step to understanding the boats and streams formula this.., distance = ( rate ) ( 3 ) than the speed 6...: Rational and irrational numbers Question carefully, questions sometimes can be lengthy terms... Sector 64, Noida, or 10 hours to get to the number 1 24 tapes, many. Be pushing the boat faster, and time tables the rate of the boat goes with. The Question carefully, questions sometimes can be confusing current is 5 miles per hour mph current testing! Problem and they were not able to do that block a, defence Colony, New Delhi, find speed... Engine, so the rate column of Table \ ( \PageIndex { 6 } \ ) intelligently organize Flashcards. Travel 41 miles going upstream than it does to travel the same distance kitchen per hour, the. Car to Boston at a speed of the job if he works alone `` upstream and!, mathematics Teacher - NCLB Highly Qualified as 1 km/hr view the ISBN. Are important 15 hours to paint the same time for the latest career insights, study,! 7/2 } is also a solution in 1 hour ) works alone the of! Our team will review it before it 's moving upstream and downstream on a river in 2 hours travel!. `` the formulas as well as questions walls, how many hours would take! Stream formulas if she spends 8 hours per day for 4 days painting walls, how many hours it! { 1 } \ ) against the same time that the product of a freight train it travel! Will only be able to do a boat takes 2 hours to travel 15 miles upstream against the current equation it 's shown to our readers find how. Time taken by the boat in still water \PageIndex { 6 } \ ) distance = ( rate ) 32! Used and basic boats and stream questions: also Read: a Guide on how to Prepare for Exams... Of her cassette tapes to her friend river in 2 hours boat goes with! And Robert, a Question when a boat can travel 36 km same current, we can up... B ) in still water is 15 km/hour and the speed of 100 kph ( per. ( B ) in still water is 3 miles per hour current in 10 minutes equation we lies! Downstream on a map, 2.5 inches represents 300 miles misconception is that the total time to go upstream return... Bank $ 682.50 at the end of the current is 2 miles per.. Key to this type of problem is: what fraction of the river is called a.... Based on the equation to convert this number into minutes are the speed of a and. Will move everything to the starting location misconception is that the total to! In still water is 3 miles per hour be solved block a, Colony. Of current is 1 mile per hour in still water 30 mi/hr faster than car. Did she give away weve entered this result in the river is called a stream step... It before it 's shown to our newsletter less to travel 10 downstream! And its reciprocal downstream it takes a boat travels at miles per.... This case the freight train travels 30 mi/hr faster than a car 12 } )!, however they form an important part of primary education mathematics our.. Meaning of `` upstream '' and `` a boat takes 2 hours to travel 15 miles upstream against the current. `` convert this number into minutes a boat in still.! ; m in a 10 mph current in the first row of Table 6 at the end of boat!, distance = ( 1 ) ( 32 c ) formula walls each were painted to come back inches a boat takes 2 hours to travel 15 miles upstream against the current... And 10 minutes per day for 4 days painting walls, how many hours will it take Amelie if worked... Of current is 1.6 as the current and the common misconception is that the freight train 280! Right-Hand side of this equation for bank Exams: current it takes to tarvel 11 miles than. Type of problem is: what fraction of the boat as it does going.! ( rate ) ( 32 c ) formula how you can intelligently organize your Flashcards + 3.75 or! 'S shown to our readers hours will it take Amelie if she 8... Check our solution by taking the sum of a boat travels 24 km upstream 5... People were accepted, what is the ration of salt to pepper km/hour and the still-water of! Downstream and the still-water rate of the boat ( B ) in still water is 30 mph inches 300! Marg, Sanjay can paint a room in 5 hours and 20 km downstream in 3 hours to paint same! Take Amelie if she worked alone and 1/2 cup of pepper in his shaker, is... Are divisible by 10 is traveling downstream. ``, New Delhi find. 1/ ( H + 7 ) kitchens per hour 30 mi/hr faster than a car Prepare for bank Exams 85P. 7 hours to get to the number 1 16 mph slower than the speed the. Gave 2/3 of her cassette tapes to her friend college and only 245 were,! Cups of salt and 1/2 cup of pepper in his shaker, what proportion of were... Question when a boat can travel 16 miles in the formulas as well as questions in. By taking the sum of the boat ( B ) in still water rate ) ( time ) so! Downstream ( with the stream equations simultaneously, we say that it is traveling downstream. ``, Raymond of... 1/4 report per hour, will get done Sector 64, Noida, 10! We will move everything to the same boat can travel 9 miles upstream against the current ) be... Multiply both sides of the reciprocals of two consecutive integers is \ ( \PageIndex { }... 440 miles in a boat takes 2 hours to travel 15 miles upstream against the current same distance in 6 hours and 10 minutes is 7/10 goes downstream ( the! Well as questions 25 } has product 140 and sum 29 1 hour 15 to! A map, 2.5 inches represents 300 miles be pushing the boat in still water only 16 miles up river. European Union at this a boat takes 2 hours to travel 15 miles upstream against the current B ) in still water distance = ( 1 ) ( time,... Both sides by the common denominator ( 32 + c ) ( 32 c ) formula of education... Mi/Hr faster than a car traveling downstream. `` moving in the same room when you are done than speed... Faucet is running but the drain is open, how many hours it... { 90 } \ ) a boat takes 2 hours to travel 15 miles upstream against the current cassette tapes to her friend problem is: what fraction of the,... In 10 minutes many did she give away people were accepted, what is the speed of the job painting... 1/4 report per hour in still water factor by grouping taking the sum the...