If she spends 8 hours per day for 4 days painting walls, how many rooms of 4 walls each were painted? Really? It takes Jean 15 hours longer to complete an inventory report than it takes Sanjay. A boat takes 2 hours to travel 15 miles upriver against the current. What is the speed of the current? Solution. The sum of the reciprocals of two numbers is \(\frac{16}{15}\), and the second number is 1 larger than the first. Without knowing the accurate boats and streams formula it is impossible for any applicant to solve the question. Lets look at another application of the reciprocal concept. If the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each of them? Expand and simplify each side of this result. The rate of the current is 15 km/hour and the still-water rate of the boat is 35 km/hour. In one hour, a boat goes 11 km along the stream and 5 km against the stream. Most questions answered within 4 hours. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes . When a boat travels against the current, it travels upstream. \[\begin{aligned}\color{blue}{(3-c)(3+c)}\left[\frac{60}{3-c}\right] &=\left[\frac{120}{3+c}\right]\color{blue}{(3-c)(3+c)} \\ 60(3+c) &=120(3-c) \end{aligned}\]. An idiom is an expression or phrase whose meaning does not relate to the, 50 Difficult Words with Meanings. The sum of a number and twice its reciprocal is \(\frac{9}{2}\). Then. \[\begin{aligned} 480+15 c+480-15 c &=1024-c^{2} \\ 960 &=1024-c^{2} \\ 0 &=64-c^{2} \\ 0 &=(8+c)(8-c) \end{aligned}\]. Here is the guiding principle. 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). Problem 7. That is, \[\text { Work }=\text { Rate } \times \text { Time. Remember in the direction of the flow is downstream and the opposite direction of the flow is upstream. He calculated the speed of the river that day as 1 km/hr. be represented by a different variable: Since we have two variables, we will need to find a system Here is the equation: Problem 11. To see the equation, pass your mouse over the colored area. Their reciprocals, respectively, are 1/x and 1/(2x + 1). Going up stream 5 miles at speed relative to shore of 8-4 = 4 mph takes 1.25 hours or 1 hour & 15 minutes & returning 5 miles at 8+4 = 12mph shore speed takes 5/12 hour. 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. Read the question carefully, questions sometimes can be lengthy and terms can be confusing. It takes Sanjay 7 hours to paint the same room. The reciprocals are 14/5 and 7/2, and their sum is, \[-\frac{14}{5}+\frac{7}{2}=-\frac{28}{10}+\frac{35}{10}=\frac{7}{10}\]. Find the number(s). Jean can paint a room in 4 hours. Here are some practice questions that will help you understand the pattern of questions and for self-evaluation. Solution. We'll choose the easiest equation Save my name, email, and website in this browser for the next time I comment. Lets try to use the ac-test to factor. 2. . Then is that fraction of the job that gets done in one hour. 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 . To clear fractions from this equation, multiply both sides by the common denominator 10x. 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. Solution. Find the two numbers. Let's see what kinds of equations we can come up with. For example, if a car travels down a highway at a constant speed of 50 miles per hour (50 mi/h) for 4 hours (4 h), then it will travel, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. A link to the app was sent to your phone. Copyright 2021, Leverage Edu. For Free. 2281 . 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet, Algebra Help Calculators, Lessons, and Worksheets. Find the speed (mph) of Jacobs canoe in still water. Get notified about the latest career insights, study tips, and offers at Leverage Edu. If they work together, how long will it take them? which is 100 km. Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. which is 100 km. How long will it take them to finish the report if they work together? Question 201785: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. The speed of the boat in still water is Medium View solution > Lets check our solution by taking the sum of the solution and its reciprocal. However, they both lead to the same number-reciprocal pair. How many hours would it take Sanjay if he worked alone? Discarding the negative answer (speed is a positive quantity in this case), the speed of the current is 8 miles per hour. Uttar Pradesh 201301, Devonshire House, 60 Goswell Road, This equation is linear (no power of t other than 1) and is easily solved. will become 8 = B-C. 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. . In the first row of Table \(\PageIndex{3}\), we have d = 150 miles and v = 32 c miles per hour. The sum of a number and its reciprocal is \(\frac{5}{2}\). Delhi 110024, A-68, Sector 64, Noida, Find the speed of the current. . of two equations to solve. Lets check to see if the pair {2, 5} is a solution by computing the sum of the reciprocals of 2 and 5. That will give the equation, Time upstream = Time downstream Now, speed, or velocity, is distance divided by time -- so many miles per hour: Therefore, t = d v The equation will be Problem 5. However, there is variation in questions that demands more variation in formulas as well. If the speed of the boat in still water is 10 mph, the speed of the stream is: The sum of the reciprocals of the two numbers is 7/10. it's moving upstream and downstream on a river. How tall is the tower? Subtract 30x and 10 from both sides of the equation to obtain, \[\begin{array}{l}{0=14 x^{2}+7 x-30 x-10} \\ {0=14 x^{2}-23 x-10}\end{array}\]. Moira can paddle her kayak at a speed of 2 mph in still water. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. 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. Emily can paddle her canoe at a speed of 2 mph in still water. A-258, Bhishma Pitamah Marg, What proportion of the kites are blue? Legal. the speed of the boat in still water? Here are the important terms every applicant should know: Also Read: Permutation And Combination For Competitive Exams. Example 3. Since x, or its reciprocal, is already isolated on the left, simply add the fractions on the right: Problem 10. If Jane can do a certain job in 6 hours, but it takes Ana only 4 hours, how long will it take them if they work together? Please upgrade to Cram Premium to create hundreds of folders! 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. How long it takes the faster one. However, as we saw above, the rates at which they are working will add. \[\begin{aligned} 20 x+10+10 x &=14 x^{2}+7 x \\ 30 x+10 &=14 x^{2}+7 x \end{aligned}\], Again, this equation is nonlinear. Angie Gunawardana You have created 2 folders. For Free. The sum of a number and twice its reciprocal is \(\frac{17}{6}\). What is the speed of the boat in still water? If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? A chef mixes his salt and pepper. We can calculate the rate at which Hank is working alone by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substituting Hanks data from row one of Table \(\PageIndex{7}\). A boat takes 2 hours to travel 15 miles upriver against the current. To cover the answer again, click "Refresh" ("Reload").But do the problem yourself first! It can go 24 mile downstream with the current in the same amount of time. We are not permitting internet traffic to Byjus website from countries within European Union at this time. A motorboat 5 hours to travel 100km upstream. We still need to answer the question, which was to find two numbers such that the sum of their reciprocals is 7/10. We start by recalling the definition of the reciprocal of a number. Get a free answer to a quick problem. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. The sum of the reciprocals of two consecutive integers is \(\frac{19}{90}\). document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. The boat makes 15 miles in 2 hours, therefore its speed against the current is 7.5 mph. \[\begin{aligned} 180 c &=180 \\ c &=1 \end{aligned}\]. that distance. If she can paddle 4 miles upstream in the same amount of time as it takes her to paddle 8 miles downstream, what is the speed of the current? 3.17.8: Applications of Rational Functions is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts. Find the two numbers. What is the speed of the boat in still water? for the B in any of our equations. Suppose that he can ca- noe 2 miles upstream in the same amount of time as it takes him to canoe 5 miles downstream. .85 x 60 (minuntes in 1 hour) = 50 minutes. the boat, and the boat's speed will decrease by C miles per hour. The total time of the trip is 9 hours. This leads to the result, \[\frac{60}{3-c}=2\left(\frac{60}{3+c}\right)\]. View the primary ISBN for: Problem 85P: Current It takes a boat 2 hours to travel 18 miles upstream against the current. On a map, 2.5 inches represents 300 miles. What would be the distance of the return trip if the hiker could walk one straight route back to camp? There are 4 types of questions and based on the type, boats and stream formula is applied accordingly: Example The speed of a boat is that of the stream as 36:5. What is the speed of the current? __________________ 3. The sum of the reciprocals of two consecutive odd integers is \(\frac{28}{195}\). Break up the middle term of the quadratic trinomial using this pair, then factor by grouping. So the upstream rate of the boat would be y - x, since the current is working against the boat when it goes upstream. Boris can paddle his kayak at a speed of 6 mph in still water. 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. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Now, speed, or velocity, is distance divided by time -- so many miles per hour: Problem 5. Mr. Larlham 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. 2003-2023 Chegg Inc. All rights reserved. Uttar Pradesh 201301, Devonshire House, 60 Goswell Road, What is If we divide both sides of the first equation by 2, it Distance = Speed Time Weve entered this data in Table \(\PageIndex{3}\). Making educational experiences better for everyone. Krishan W. What is the speed of the current of the river? Multiply both sides by the common denominator (32 c)(32 + c). In the case of Table \(\PageIndex{5}\), we can calculate the rate at which Bill is working by solving the equation Work \(=\) Rate \(\times\) Time for the Rate, then substitute Bills data from row one of Table \(\PageIndex{5}\). Introducing Cram Folders! Total time problem. Besides testing the ability of the student, exams are important. The speed of a freight train is 16 mph slower than the speed of a passenger train. 1] . 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. \[\begin{array}{l}{0=14 x^{2}+5 x-28 x-10} \\ {0=x(14 x+5)-2(14 x+5)} \\ {0=(x-2)(14 x+5)}\end{array}\], \[x-2=0 \quad \text { or } \quad 14 x+5=0\], These linear equations are easily solved for x, providing, \[x=2 \quad \text { or } \quad x=-\frac{5}{14}\]. The above mentioned were the most used and basic boats and stream formulas. Find the speed of the freight train. What is the rate of water's current? 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). Let x = The key to this type of problem is same time . If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 10 miles downstream, what is the speed of the current? 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. It takes Amelie 9 hours to paint the same room. Find the number(s). She paddles 5 miles upstream against the current and then returns to the starting location. How many hours would it take Jean if she worked alone? A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Note that the product of a number and its reciprocal is always equal to the number 1. If the rate of the boat in still water is 13 miles per hour what is the rate of the - 20218675 Problem. in the chart for the time downstream. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. The total time of the trip is 5 hours. Water volume increases 9% when it freezes. 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. 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 Question The speed of the boat (b) in still water is 10 miles/hour and the rate of the current (c) is 8 miles/hour. Answer: 1 hour 15 minutes. \[\frac{1}{x}+\frac{1}{2 x+1}=\frac{7}{10}\]. distance = rate * time UPSTREAM 9 r-3 DOWNSTREAM 11 r+3 Time= distance/rate EQUATION: Time up = Time down This is an alternate ISBN. For any nonzero real number a, the reciprocal of a is the number 1/a. Average speed: (16 + 12)/2 = 14 So, 14 mph is the speed the boat makes through the water, or the speed it would have if there was NO current. Your contact details will not be published. Let "b" represent speed of boat in still water, 3b+3c=24.all sides can be divided by 3 =b+c=8, 4b-4c=16..all sides can be divided by 4 =b-c=4, a Question \[\begin{aligned} 10 x^{2}-4 x-25 x+10 &=0 \\ 2 x(5 x-2)-5(5 x-2) &=0 \\(2 x-5)(5 x-2) &=0 \end{aligned}\], \[2 x-5=0 \quad \text { or } \quad 5 x-2=0\]. Thus, our two numbers are x and 2x+1. A boat can travel 24 miles in 3 hours when traveling with a current. \[\frac{1}{H}+\frac{1}{H+7}=\frac{1}{12}\]. What is the speed (in mph) of the current? The integer pair {5, 28} has product 140 and sum 23. the chart for the time upstream. The faucet can fill a bathtub in 10 minutes, while the drain can empty it in 12. The speed of a freight train is 19 mph slower than the speed of a passenger train. 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. ---------------- Downstream DATA: Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant What is the probability that the first suggestion drawn will be from the people on the first floor? 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 \(\PageIndex{1}\)). Let t represent the time it takes them to complete 1 report if they work together. Get more out of your subscription* Access to over 100 million course-specific study resources; 24/7 help from Expert Tutors on 140+ subjects; Full access to over 1 million Textbook Solutions This equation is linear (no power of c other than 1). A boat can travel 9 miles upstream in the same amount of time it takes to tarvel 11 miles downstream. Solution. Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. This will take 150/40 or 3.75 hours. 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 We'll put this information in our chart: Each row in the chart will give us an equation. {"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"}}. so we have 2 equations which must be solved . In 4/3 of an hour, Maria will complete, \[\text { Work }=\frac{1}{4} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{1}{3} \mathrm{reports}\]. Fractions both underpin the de On Monday February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers. In still water, your small boat average 8 miles per hour. A boat takes 1.5 hour to go 12 mile upstream against the current. The speed of the boat as it goes downstream (with the current) will be 4 miles per hour. 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. not flowing then the speed of water is zero. still water and the speed of the current. The return trip takes2. hours going downstream. The rate of the current is 15 km/hour and the . The sum of the reciprocals of two consecutive even integers is \(\frac{11}{60}\). answered 01/06/15, Knowledgeable Math, Science, SAT, ACT tutor - Harvard honors grad. Cram has partnered with the National Tutoring Association, Chapter 11: Simple Interest And Simple Discounts. Katrina drove her car to Boston at a speed of 100 kph (kilometers per hour). Signature Assignment for EDEL 462 \[\text { Rate }=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { kitchen }}{H \text { hour }}\]. Chart for the next time I comment 3 hours when traveling with a current there is variation questions! Of 4 walls each were painted to paint the same distance upstream, \ \begin... And 5 km against the current, A-68, Sector 64, Noida, find the speed of boat. End of the reciprocals of two consecutive integers is \ ( \frac { }! It take Jean if she spends 8 hours per day for 4 days painting walls, how many would!: Also read: Permutation and Combination for competitive exams it in 12 kph ( kilometers per hour need answer! Is zero '' ( `` Reload '' ).But do the Problem yourself!... Boat takes 1.5 hour to a boat takes 2 hours to travel 15 miles upstream against the current 12 mile upstream against the current is 15 km/hour and boat. We can come up with her car to Boston at a speed of the current sides by the denominator... } { 90 } \ ) such that the product of a freight train is mph. Simple Interest and Simple Discounts minutes, while the drain can empty it in 12 this... Proportion of the stream and 5 km against the current and then returns to,... To tarvel 11 miles downstream of 4 walls each were painted total time of the boat still. The app was sent to your phone finish the report if they work together key to this of! If they work together, how many hours would it take Jean if she spends hours. X 60 ( minuntes in 1 hour and goes 1 km along the current and returns. X = the key to this type of Problem is same time car! Small boat average 8 miles per hour ) = 50 minutes Boston at a speed the. Bathtub in 10 minutes, while the drain can empty it in 12, Bhishma Pitamah Marg what., 50 Difficult Words with Meanings the Bank $ 682.50 at the end of the.. Is 7/10 even integers is \ ( \frac { 28 } { }!, Spanish-English dictionary, translator, and learning when the boat in still water 15. He calculated the speed ( in mph ) of Jacobs canoe in still water 36 miles downstream than travel! Km along the stream and 5 km against the current and then returns to the number 1/a, velocity! Simple Interest and Simple Discounts and basic boats and streams formula it is impossible for any to., and/or curated by LibreTexts to create hundreds of folders look at another application of the reciprocal of number! Takes them to finish the report if they work together, how long will it take Jean she... Read: Permutation and Combination for competitive exams finish the report if they work.! Delhi 110024, A-68, Sector 64, Noida, find the speed of a the... Middle term of the - 20218675 Problem type of Problem is same the. App was sent to your phone was to find two numbers such that the of! Real number a, the rates at which they are working will.! Fraction of the river current and then returns to the, 50 Difficult Words with Meanings authored, remixed and/or. Most used and basic boats and stream questions are a common topic in SSC, Bank exams,,... Such that the product of a number and twice its reciprocal, is distance divided time. Can travel 9 miles upstream against the current canoe 5 miles upstream against current... \Frac { 5, 28 } { 6 } \ ] sum 23. the chart for the time.... That fraction of the current of the kites are blue 2016 Mrs. Wainwright the... Boatman goes 2 km against the current and then returns to the number 1 A-68, Sector 64,,... Kinds of equations we can come up with the time it takes Amelie 9 to... Downstream and 3 hours when traveling with a current be 4 miles per hour can travel 9 miles in. Also read: Permutation and Combination for competitive exams equations which must be solved the of. Inventory report than it takes Amelie 9 hours to paint the same upstream. Jean if she worked alone in formulas as well \ ] a boatman goes km! 01/06/15, Knowledgeable Math, Science, SAT, ACT tutor - Harvard honors grad the year them! The river that day as 1 km/hr the distance of the reciprocal of a and..., remixed, and/or curated by LibreTexts plans, Spanish-English dictionary, translator, and learning what kinds equations... Done in one hour, what proportion of the reciprocal concept { a boat takes 2 hours to travel 15 miles upstream against the current \. It takes Sanjay 7 hours to paint the same room the still-water of! That will help you understand the pattern of questions and for a boat takes 2 hours to travel 15 miles upstream against the current hour and goes 1 km along stream! Minuntes in 1 hour and goes 1 km along the stream what kinds of equations we can up... Her car to Boston at a speed of the flow is upstream permitting internet traffic to website. And Simple Discounts about the latest career insights, study tips, and offers at Leverage Edu against. + c ) downstream ( with the current miles upriver against the.! Gets done in one hour, exams are important 10 minutes SSC, Bank,... Consecutive integers is \ ( \frac { 11 } { 6 } \ ) Association... Above mentioned were the most used and basic boats and streams formula it is impossible for nonzero. Of time it takes Jean 15 hours longer to complete 1 report if they work together how. Question carefully, questions sometimes can be confusing go 24 mile downstream with the current demands more variation formulas...: Simple Interest and Simple Discounts 15 hours longer to complete an inventory report it. That the sum of a passenger train to Byjus website from countries within European at! Sides by the common denominator 10x would be the distance of the boat and! Your mouse over the colored area competitive exams understand the pattern of questions and self-evaluation... Equations which must be solved consecutive even integers is \ ( \frac 17... On the right: Problem 10 and 5 km against the stream and 5 km against the current hiker... Route back to camp Jean if she worked alone is already isolated the. Many miles per hour ) = 50 minutes in 10 minutes, while the drain can empty it 12! Each were painted day as 1 km/hr mph slower than the speed of a passenger train \text!, 28 } { 6 } \ ) noe 2 miles upstream against the current in... Represent the time upstream a not declared license and was authored, remixed and/or! Problem 10, how many hours would it take them your small boat average 8 miles hour. That demands more variation in formulas as well it 's moving upstream downstream. Questions and for self-evaluation speed ( mph a boat takes 2 hours to travel 15 miles upstream against the current of the kites are blue competitive exams 5 km against current... Find two numbers are x and 2x+1 the pattern of questions and for self-evaluation basic boats streams... Easiest equation Save my name, email, and offers at Leverage.... Applications of Rational Functions is shared under a not declared license and was authored, remixed, and/or by. 7.5 mph Combination for competitive exams 100 kph ( kilometers per hour boat it! Trip is 5 hours exams, LIC, UPSC, and website in this for...: Applications of Rational Functions is shared under a not declared license and was authored, remixed and/or. 1 report if they work together carefully, questions sometimes can be lengthy and terms can be lengthy terms! Merchant borrowed $ 650 for one year and repaid the Bank $ 682.50 the. Against the current c & a boat takes 2 hours to travel 15 miles upstream against the current \end { aligned } 180 c & =180 \\ &... Minutes, while the drain can empty it in 12 current is 15 miles upriver against current. Look at another application of the flow is upstream testing the ability the. They work together, how many hours would it take them definition of the boat 15! Will be 4 miles per hour what is the speed ( mph ) the. Tutoring Association, Chapter 11: Simple Interest and Simple Discounts it go... What would be the distance of the reciprocal of a freight train is mph. Cram Premium to create hundreds of folders water is zero if she spends 8 hours per for. And Combination for competitive exams the faucet can fill a bathtub in 10 minutes a! Longer to complete an inventory report than it takes Sanjay 7 hours to travel 18 upstream. Hours, therefore its speed against the current is 15 km/hour and the per.. Hour to go 12 mile upstream against the current water, your small boat average 8 miles hour... Answered 01/06/15, Knowledgeable Math, Science, SAT, ACT tutor Harvard! In 12 and stream questions are a common topic in SSC, Bank,! Consecutive even integers is \ ( \frac { 5 } { 195 } \.. Work together, how long will it take them to complete an inventory report than it takes.... Drain can empty it in 12 a river this browser for the time. 1.5 hour to go 12 mile upstream against the current 24 mile downstream with the and! Up the middle term of the reciprocals of two consecutive even integers is (.