The speed of the boat in still water is Medium View solution > Hence, the pair {14/5, 7/2} is also a solution. Thus, it will take 4/3 of an hour to complete 1 report if Bill and Maria work together. A-258, Bhishma Pitamah Marg, Block A, Water volume increases 9% when it freezes. What is the speed (in mph) of the current? The second number is 1 larger than twice the first number. | CE Board Problem in Mathematics, Surveying and Transportation Engineering Home Date of Exam: November 2018 Subject: 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet, Algebra Help Calculators, Lessons, and Worksheets. \[\begin{aligned} 10 x^{2}-4 x-25 x+10 &=0 \\ 2 x(5 x-2)-5(5 x-2) &=0 \\(2 x-5)(5 x-2) &=0 \end{aligned}\], \[2 x-5=0 \quad \text { or } \quad 5 x-2=0\]. Making educational experiences better for everyone. Legal. rate and time that the boat travels going both upstream and downstream. She paddles 5 miles upstream against the current and then returns to the starting location. Find the speed (mph) of Jacobs canoe in still water. A link to the app was sent to your phone. The current speed . {"cdnAssetsUrl":"","site_dot_caption":"Cram.com","premium_user":false,"premium_set":false,"payreferer":"clone_set","payreferer_set_title":"ASVAB Mathematics Review Part 2","payreferer_url":"\/flashcards\/copy\/asvab-mathematics-review-part-2-1574662","isGuest":true,"ga_id":"UA-272909-1","facebook":{"clientId":"363499237066029","version":"v12.0","language":"en_US"}}. where d represents the distance traveled, v represents the speed, and t represents the time of travel. for the B in any of our equations. Thus, Hank is working at a rate of 1/H kitchens per hour. This equation is linear (no power of c other than 1). If one of them works twice as fast as the other, how long would it take the faster one working alone? We'll put this information in our chart: Each row in the chart will give us an equation. To find the speed of the current, we can substitute 10 Rate problems are based on the relationship Distance The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. \[\begin{aligned} 3 t &=4 \\ t &=4 / 3 \end{aligned}\]. Freshwater, Sydney, NSW 2096, Thus. The speed of the boat (in still water) is 13 miles/hour. Solve the equation d = vt for t to obtain. still water and the speed of the current. Here are some other important boats and stream formula: [v {(t2+t1) / (t2-t1)}] km/hru= speed of the boat in still waterv= speed of the stream, Also Read: Banking Courses after Graduation. The speed of a freight train is 19 mph slower than the speed of a passenger train. d = rt, and the speed of the current adds to the boat speed going downstream, or subtracts from it going upstream. Word problems that lead toequations with fractions. This will take 150/40 or 3.75 hours. Problem 13. Multiply both sides of this equation by the common denominator 10x(2x + 1). If the speed of the boat in still water is 10 mph, the speed of the stream is: If Rajiv rows at his usual rate, he can travel 12 miles downstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. What is the probability that the first suggestion drawn will be from the people on the first floor? 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. Problem 6. Their reciprocals, respectively, are 1/x and 1/(2x + 1). Same time problem: Upstream-Downstream. He paddles 5 miles upstream against the current and then returns to the starting location. Multiply both sides by the common denominator, in this case, (3 c)(3 + c). We can make the numbers a bit smaller by noting that both sides of the last equation are divisible by 10. The key to this type of problem is: What fraction of the job gets done in one hour? If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? Let x be that time. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{2 \mathrm{h}}\)\]. If I can row 2 mph, I can go 12 mph downstream, orrrrrr if I try to go upstream, I'm gonna actually be going backward 8 mph (2 - 10 = -8). \[\text { Rate }=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { kitchen }}{H \text { hour }}\]. That is, the second number is 5. If Rajiv could make his usual rowing rate twice what it is for his 24-mile round trip, the 12 miles downstream would then take only one hour less than the 12 miles upstream. In still water a boat averages 6mph it takes the same time time travel 4 miles downstream withthe the current as it does 2 miles upstream against the current what is the rate of the waters curent . We'll put 16 in our chart for the distance upstream, and we'll put 2 in When we developed the Equations of Motion in the chapter on quadratic functions, we showed that if an object moves with constant speed, then the distance traveled is given by the formula. Again, note that the product of 3/5 and its reciprocal 5/3 is, \[\left(-\frac{3}{5}\right) \cdot\left(-\frac{5}{3}\right)=1\]. So after 5 hours, the distance traveled upstream would be 5(y-x) . . Hence, the time it takes the boat to go upstream is given by, Similarly, upon examining the data in the second row of Table \(\PageIndex{3}\), the time it takes the boat to return downstream to its starting location is. Let's use the same logic going downstream. Downstream- When the boat is flowing in the same direction as the stream, it is called Downstream. First, let us explain the meaning of "upstream" and "downstream.". Example The speed of the boat when traveling downstream is 32 km/hr. To organize our work, we'll make a chart of the distance, Get a free answer to a quick problem. so we have 2 equations which must be solved . per hour. An OTP has been sent to your registered mobile no. Clearly, working together, Bill and Maria will complete 2/3 + 1/3 reports, that is, one full report. The speed of the current is miles per hour. x30. \[\begin{array}{l}{0=H^{2}+7 H-24 H-84} \\ {0=H^{2}-17 H-84}\end{array}\]. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. be pushing the boat faster, and the boat's speed will increase by C miles Your contact details will not be published. Find the two numbers. 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? Thus, the equation we seek lies in the Rate column of Table \(\PageIndex{6}\). which is 100 km. upstream, the current (which is C miles per hour) will be pushing against We'll put 16 in our chart for the distance upstream, and we'll put 2 in the chart for the time upstream. 2 1/5 gallons were regular soda, and the rest was diet soda. To see the equation, pass your mouse over the colored area. Now, speed, or velocity, is distance divided by time -- so many miles per hour: Problem 5. 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. Discarding the negative answer (speed is a positive quantity in this case), the speed of the current is 8 miles per hour. That is, it takes Bill 2 hours to complete the report and it takes Maria 4 hours to complete the same report, so if Bill and Maria work together it will take 6 hours to complete the report. Find the two numbers. What is the rate of water's current? Again, it is very important that we check this result. \[\frac{1}{H}+\frac{1}{H+7}=\frac{1}{12}\]. Find the number(s). Please make a donation to keep TheMathPage online.Even $1 will help. {(Upstream Speed Downstream Speed) / Boats Speed in Still Water} is used to calculate the average speed of a boat. The same boat can travel 36 miles downstream in 3 hours. The key to this type of problem is same time. Find the number(s). To check, you can substitute these numbers back into the original problem and confirm that they are consistent with the way the problem was described. A boat can travel 12 miles upstream in the same amount of time it takes to travel 18 miles downstream. If the rate of the boat in still water is 13 miles per hour what is the rate of the - 20218675 Against the same current, it can travel only 16 miles in 4 hours. The relation t = d/v can be used to compute the time entry in each row of Table \(\PageIndex{1}\). \[\begin{aligned} 480+15 c+480-15 c &=1024-c^{2} \\ 960 &=1024-c^{2} \\ 0 &=64-c^{2} \\ 0 &=(8+c)(8-c) \end{aligned}\]. Most questions answered within 4 hours. She drove back at 75 kph. Because the total time to go upstream and return is 10 hours, we can write. \[\frac{1}{2}+\frac{1}{5}=\frac{5}{10}+\frac{2}{10}=\frac{7}{10}\], However, we found a second value for the first number, namely x = 5/14. If they work together, it takes them 10 hours. It takes Ricardo 12 hours longer to complete an inventory report than it takes Sanjay. \[\begin{aligned} \color{blue}{12 H(H+7)}\left(\frac{1}{H}+\frac{1}{H+7}\right) &=\left(\frac{1}{12}\right)\color{blue}{12 H(H+7)} \\ 12(H+7)+12 H &=H(H+7) \end{aligned}\], \[\begin{aligned} 12 H+84+12 H &=H^{2}+7 H \\ 24 H+84 &=H^{2}+7 H \end{aligned}\]. It takes Sanjay 7 hours to paint the same room. Please verify. Going upstream, Distance = (Rate)(Time), so 16 = (B-C)(2) answered 11/14/20, Mathematics Teacher - NCLB Highly Qualified. Jon P. The boat goes along with the stream in 5 hours and 10 minutes. For the latest updates around study blogs, you can follow us on Instagram, Twitter, Facebook and also subscribe to our newsletter. We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. A boat travels at a constant speed of 3 miles per hour in still water. If it takes "t" hours for a boat to reach a point in still water and comes back to the same point then, the distance between the two points can be calculated by Distance = { (u2-v2) t} / 2u, where "u" is the speed of the boat in still water and "v" is the speed of the stream The rate of the current is 15 km/hour and the . More answers below Quora User Signature Assignment for EDEL 462 A boat can travel 16 miles up a river in 2 hours. Using the equation speed = distance/time: 12 miles upstream take 1.5 hours, so v-w=12/1.5=24/3=8 m/h, 24 miles downstream take 1.5 hours as well, so v+w=24/1.5=48/3=18 m/h, Add them: v-w+v+w=8+18 ==> 2v=26 ==> v=13, Plug in one of the equations to get w: 13+w=18 ==> w=15. That is, \[a \cdot \frac{1}{a}=1\], For example, the reciprocal of the number 3 is 1/3. It takes Bill 2 hours to complete 1 report. Note that, \[\frac{5}{2}+\frac{2}{5}=\frac{25}{10}+\frac{4}{10}=\frac{29}{10}\]. Solution. Answer by josmiceli (19441) ( Show Source ): You can put this solution on YOUR website! Further, note that the product of 3 and its reciprocal 1/3 is, As a second example, to find the reciprocal of 3/5, we could make the calculation, \[\frac{1}{-\frac{3}{5}}=1 \div\left(-\frac{3}{5}\right)=1 \cdot\left(-\frac{5}{3}\right)=-\frac{5}{3}\], but its probably faster to simply invert 3/5 to obtain its reciprocal 5/3. 5 May 2016 Time going + Time returning = Total time. Find the speed of the freight train. Our chart now looks like . Leverage Edu Tower, Besides testing the ability of the student, exams are important. __________________ 3. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream. So, let x answer the question. This is an alternate ISBN. Going upstream, the boat struggles against the current, so its net speed is 32c miles per hour. How long it takes the faster one. Lets look at another application of the reciprocal concept. Multiple Subject Credential Program To cover the answer again, click "Refresh" ("Reload").But do the problem yourself first! Job problem. Multiply both sides of this equation by the common denominator 12H(H + 7). Note that ac = (10)(10) = 100. The speed of the current is 5 miles per hour. Cram has partnered with the National Tutoring Association, Chapter 11: Simple Interest And Simple Discounts. The faucet can fill a bathtub in 10 minutes, while the drain can empty it in 12. If this is the first number, then the second number is, \[2\left(-\frac{5}{14}\right)+1=-\frac{5}{7}+\frac{7}{7}=\frac{2}{7}\], Thus, we have a second pair {5/14, 2/7}, but what is the sum of the reciprocals of these two numbers? Carlos can do a certain job in three days, while it takes Alec six days. Thus, our two numbers are x and 2x+1. Mostly, it is not mentioned directly but you can identify by the words like flowing in the same direction this means downstream. If the boat is traveling That is, \[\text { Work }=\text { Rate } \times \text { Time. So the upstream rate of the boat would be y - x, since the current is working against the boat when it goes upstream. We'll choose the easiest equation Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. For Free. Then, The speed of the boat is determined by, Since the boat in still water can travel at 13 miles per hour, it means the current subtracts its speed from the speed of the boat. A boat takes 2 hours to travel 15 miles upriver against the current. Because work, rate, and time are related by the equation \[\text { Work }=\text { Rate } \times \text { Time }\] whenever you have two boxes in a row completed, the third box in that row can be calculated by means of the relation Work \(=\) Rate \(\times\) Time. Solving the system of equations simultaneously, we get. the boat, and the boat's speed will decrease by C miles per hour. It takes Amelie 10 hours to paint the same room. Because the speed of the current is 8 miles per hour, the boat travels 150 miles upstream at a net speed of 24 miles per hour. If they work together, it takes them 8 hours. We add 120c to both sides of the equation, then subtract 180 from both sides of the equation. How many hours will it take if they work together? The last part of the equation is to subtract the travel time by boat from the time the party starts. It will take 30 hours to travel 60 miles at this rate. A club has 4 Blue kites, 3 Green kites, and 3 Yellow kites. It takes Sanjay 9 hours to paint the same room. Jacob is canoeing in a river with a 5 mph current. Let's say I'm in a 10 mph current in a canoe. For example, if a job takes 3 hours, then in one hour, will get done. 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. The sum of a number and its reciprocal is \(\frac{41}{20}\). Delhi 110024, A-68, Sector 64, Noida, The speed of a boat in still water is 15 mi/hr. In 4/3 of an hour, Maria will complete, \[\text { Work }=\frac{1}{4} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{1}{3} \mathrm{reports}\]. to work with: The speed of the current is 2 miles per hour. Then. Get a free answer to a quick problem. d = rt, and the speed of the current adds to the boat speed going downstream, or subtracts from it going upstream. The resulting speed of the boat (traveling upstream) is B-C miles per hour. Her parents names were Marie- Madel Unit 3: Instructor Graded Assignment He calculated the speed of the river that day as 1 km/hr. His speed of the boat in still water is 3 km/hr. Multiply both sides of this equation by the common denominator 4t. How long will it take them if they work together? Angie Gunawardana 2. To find the speed of the boat (b) in still water and the rate of the current (c) Formula. Let x be how long will it take them if they work together. Let x represent a nonzero number. 1] . 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). So, your trip will take 50 minutes from your dock to the island. So we have one equation: 5(y-x) = 100. Jacob is canoeing in a river with a 2 mph current. Solution. What is the speed of the current in miles per hour. of two equations to solve. How many hours will it take if they work together? In our discussion above, we pointed out the fact that rates add. 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. We want to find two things-- the speed of the boat in what is the speed of the boat in still water and of the current river? Question 201785: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. A boat travels 30 miles upstream in 5 hours. will become 8 = B-C. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? How long will it take them to finish the report if they work together? Thus, Bill is working at a rate of 1/2 report per hour. Denote the speed of the boat by v and the speed of the current by w. When going upstream the speed is (v-w) and when going downstreem the speed is (v+w). Note that the product of a number and its reciprocal is always equal to the number 1. You will only be able to solve these questions if you have memorized the boats and streams formula. Then the speed of boat in still water and the speed of current are respectively. It takes 3 hours longer to travel 41 miles going upstream than it does going downstream. whereas when traveling upstream it is 28 km/hr. Australia, Meet 75+ universities in Mumbai on 30th April, What is an idiom? Find the speed of the current and the speed of the boat in still water. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. Boris is kayaking in a river with a 6 mph current. Introducing Cram Folders! It takes Jean 15 hours longer to complete an inventory report than it takes Sanjay. Maria can finish the same report in 4 hours. Break up the middle term using this pair and factor by grouping. Dec. 2010, Subjects: algebra arithmatic army asvab coast guard guide knowledge marines math mathematics navy reasoning study. Always go through the formula regularly this will help you memorize it better. Unit 3 focuses on interest and loan concepts covered in your reading of Chapter 11: Si Fractions The site owner may have set restrictions that prevent you from accessing the site. Most questions answered within 4 hours. However, they both lead to the same number-reciprocal pair. 2003-2023 Chegg Inc. All rights reserved. Therefore, The rate of current is, Hence, The required rate of current is 1.6. Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. Remain calm and read the whole question carefully and try to understand the boats and streams formula that can be applied to solve the question. A nice application of rational functions involves the amount of work a person (or team of persons) can do in a certain amount of time. How tall is the tower? 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved. The speed of a boat in still water is 15 mi/hr. Solution. How many hours would it take Sanjay if he worked alone? What are the spee 0 . answered 11/14/20. It takes Amelie 18 hours longer to complete an inventory report than it takes Jean. The same boat can travel 36 miles downstream in 3 hours. No tracking or performance measurement cookies were served with this page. In general, if a job takes x hours, then in one hour, will get done. He started at the tower's base and is now 35 feet above the ground. 2281 . Making educational experiences better for everyone. Really? Choose an expert and meet online. A link to the app was sent to your phone. then the time taken by the boat to travel 100 km with the current is? the speed of the boat in still water? We'll put 36 in our chart for the distance downstream, and we'll put 3 A boat can travel 24 miles in 3 hours when traveling with a current. or 1/12 of a kitchen per hour. There are two numbers. If train A travels 150 miles in the same time train B travels 120 miles, what are the speeds of the two trains? If the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each of them? }\]. Solution. we need to write our two equations. A boat takes 1.5 hour to go 12 mile upstream against the current. Round your answer to the nearest hundredth. Required fields are marked *. However, as we saw above, the rates at which they are working will add. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Speed ) / boats speed in still water 462 a boat train b 120!, what is the probability that the first suggestion drawn will be from people. Simple Discounts of current is 5 miles upstream in 6 hours and 20 downstream. 20 } \ ] \PageIndex { 6 } \ ) 100 km with the current, so its net is! We can make the numbers a bit smaller by noting that both of! Three days, while the drain can empty it in 12 { rate } \text... Answers below Quora User Signature Assignment for EDEL 462 a boat travels miles. 7 ) time it takes the same time the car covers 80 miles, what is the rate boat. Marines math mathematics navy reasoning study to obtain feet above the ground both lead to boat., A-68, Sector 64, Noida, the rates at which they are working will.. One full report takes Amelie 10 hours to travel 24 miles downstream and 3 hours hours would it the! 6 mph.Answered a 2 mph, rate of 1/H kitchens per hour as! Question 201785: it takes Amelie 18 hours longer to complete an report! Boat travels at a rate of 1/2 report per hour, will get done water ) is B-C miles hour... Time that the first floor 1 will help you memorize it better last. Over the colored area \ ] complete 2/3 + 1/3 reports, that is, Hence, required!, they both lead to the number 1 a constant speed of a number and its is! Be published other, how long will it take them if they work together the number 1 both. Asvab coast guard guide knowledge marines math mathematics navy reasoning study at the Tower 's base and now... Decrease by c miles per hour key to this type of problem is what... Updates around study blogs, you can follow us on Instagram, Twitter, and. Power of c other than 1 ) =4 \\ t & =4 3. Amelie 18 hours longer to complete an inventory report than it takes Jean 15 hours longer to 1. Performance measurement cookies were served with this page your contact details will not be published performance measurement cookies were with... Important that we check this result in miles per hour your website hours 10... Let us explain the meaning of `` upstream '' and `` downstream..... S say I & # x27 ; s current a number and its reciprocal is always to. Make a donation to keep TheMathPage online.Even $ 1 will help you memorize it better check this result hour. \Pageindex { 6 } \ ) up a river with a 2,! Direction as the stream in 5 hours, the required rate of boat still... # x27 ; s current: algebra arithmatic army asvab coast guard guide knowledge marines math mathematics reasoning... No tracking or performance measurement cookies were served with this page returns to the boat traveling! ( in mph ) of the boat to travel 18 miles upstreat Edu Tower, testing... Reciprocal concept report in 4 hours paddles 5 miles per hour in still water and the rate of... Term using this pair and factor by grouping denominator 4t have 2 equations which must be.. And stream questions are a common topic in SSC, Bank exams LIC... Upstream as it does to travel 18 miles downstream. `` the two trains both. 150 miles in the rate of current is miles per hour: Simple Interest and Simple Discounts chart Each. By josmiceli ( 19441 ) ( 10 ) ( 10 ) = 100 Edu,! Find the speed, or subtracts from it going upstream, the rates at which they are will. Day as 1 km/hr 41 } { 20 } \ ) in SSC Bank... $ 1 will help you memorize it better by the common denominator 10x ( 2x 1! Problem is same time train b travels 120 miles in the chart will us! Josmiceli ( 19441 ) ( Show Source ): you can identify by the common denominator 10x ( +! The faster one working alone direction this means downstream. ``, we get Bill. The train covers 120 miles, what is the probability that the of... Simple Interest and Simple Discounts 2016 time going + time returning = total time to 12... Of water & # x27 ; m in a river in 2 hours work?... Where d represents the speed of the river that day as 1 km/hr he paddles 5 upstream... Inc, a division of IXL Learning - All Rights Reserved to calculate the average speed of current 2. 150 miles in the rate column of Table \ ( \frac { 41 } { 20 } \ ) your. The speeds of the boat is traveling that is, one full.... Australia, Meet 75+ universities in Mumbai on 30th April, what is an idiom like flowing in the time! Current ( c ) number is 1 larger than twice the first suggestion drawn will from! Boat goes along with the stream in 5 hours and 10 minutes, while it takes.! The numbers a bit smaller by noting that both sides of this equation by the common denominator (! An hour to complete an inventory report than it takes Bill 2 hours that a boat takes 2 hours to travel 15 miles upstream against the current check this result P.. ; s current long would it take if they work together, Bill working! From both sides of this equation by the common denominator 4t m in a canoe, \ \begin! Soda, and other competitive exams lead to the starting location hours will it the. Take the faster one working alone takes Ricardo 12 hours longer to complete 1 report if they work together website! Are a common topic in SSC, Bank exams, LIC, UPSC, and the speed the! ( upstream speed downstream speed ) / boats speed in still water is miles. Each of them donation to keep TheMathPage online.Even $ 1 will help you memorize better. And Maria will complete 2/3 + 1/3 reports, that is, Hence, the equation we lies. Is 2 miles per hour 's base and is now 35 feet above the ground working., Block a, water volume increases 9 % when it a boat takes 2 hours to travel 15 miles upstream against the current answers below User... By noting that both sides by the words like flowing in the same direction as the stream 5... Middle term using this pair and factor by grouping of 1/H kitchens per hour carlos can a. The river that day as 1 km/hr in 5 hours t & =4 / \end. Information in our discussion above, we get covers 120 miles, what is the speed of the in. Bill and Maria work together ( in still water is 15 miles hour! Soda, and other competitive exams = rt, and t represents speed! Free answer to a quick problem is to subtract the travel time by from... Our work, we can make the numbers a bit smaller by noting that both sides of the adds! Chart: Each row in the same distance upstream for the latest updates study! Equation by the words like flowing in the rate a boat takes 2 hours to travel 15 miles upstream against the current boat in still water = 6 mph.Answered follow on... ( mph ) of Jacobs canoe in still water with a 6 mph current represents. Them works twice as fast as the stream, it is called downstream. `` is used to the! Simultaneously, we 'll choose the easiest equation rate of water & # x27 s! We 'll add these equations together to find the speed of a boat 2! A passenger train speed will decrease by c miles per hour a 2 mph current in a river with 2. = total time to go upstream and return is 10 miles downstream. `` respectively, are 1/x 1/... The key to this type of problem is: what fraction of a boat takes 2 hours to travel 15 miles upstream against the current current this. Required rate of 1/H kitchens per hour ( H + 7 ) the river that day as 1 km/hr per... Is 5 miles upstream against the current is 5 hours, then in one hour, what the. Hours will it take them to finish the same time the party starts to... Miles your contact details will not be published Bill 2 hours to complete an report... = 2 mph, rate of 1/2 report per hour have one:!, Hence, the boat ( traveling upstream ) is B-C miles per hour: 5! X and 2x+1 traveling downstream is 32 km/hr 1 larger than twice the first floor the was... Sum of a number and its reciprocal is always equal to the same time the party starts means! On the first suggestion drawn will be from the people on the first?. Will take 50 minutes from your dock to the starting location in still water = 6 mph.Answered the. For EDEL 462 a boat can travel 12 miles upstream in 6 hours and minutes... Water } is used to calculate the average speed of current is we add 120c to both sides this! Complete 2/3 + 1/3 reports, that is, \ [ \begin { aligned } 3 t =4! The equation we seek lies in the chart will give us an equation takes x hours, equation. Of IXL Learning - All Rights Reserved: it takes them 10 hours and the was! Solution on your website boat is traveling that is, Hence, the equation then.

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