The rate of the current is 15 km/hour and the still-water rate of the boat is 35 km/hour. We hope you liked this blog and will help you in preparing your speech on the Importance of English. Find the number(s). There are two numbers. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. it will become 12 = B+C. 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. The same boat can travel 36 miles downstream in 3 hours. What is the speed of the boat in still-water, and how fast is it in the current? In the first row of Table \(\PageIndex{3}\), we have d = 150 miles and v = 32 c miles per hour. She paddles 3 miles upstream against the current and then returns to the starting location. For Free. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? Hence, \[H+4=0 \quad \text { or } \quad H-21=0\]. Best Answer #1 +118288 +10 . Find the two numbers. We have advice similar to that given for distance, speed, and time tables. Problem 6. Mostly, it is not mentioned directly but you can identify by the words like flowing in the same direction this means downstream. To find the speed of the boat (b) in still water and the rate of the current (c) Formula. Example 4. Find the speed of the freight train. In this direction, the current works WITH the boat's engine, so the rate would be y + x. So after 2 hours, the distance would be 2(y+x), which is also 100 km. Here are the important terms every applicant should know: Also Read: Permutation And Combination For Competitive Exams. It travels 150 miles upstream against the current then returns to the starting location. A hiker follows a trail that goes from camp to lake. 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). Round your answer to the nearest hundredth. Fractions both underpin the de On Monday February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers. Uttar Pradesh 201301, Devonshire House, 60 Goswell Road, Step-by-step explanation: Given, In upstream it takes 2 hours to travel 16 km. Because the total time to go upstream and return is 10 hours, we can write. 5600 = ___________________ What is the speed of the boat in still water? The integer pair {5, 28} has product 140 and sum 23. A link to the app was sent to your phone. 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. Solution. not flowing then the speed of water is zero. the boat, and the boat's speed will decrease by C miles per hour. The speed of a freight train is 16 mph slower than the speed of a passenger train. We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. 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 weren't able to detect the audio language on your flashcards. Jean can paint a room in 5 hours. Get a free answer to a quick problem. The speed of the current is 5 miles per hour. We'll put 36 in our chart for the distance downstream, and we'll put 3 These results are entered in Table \(\PageIndex{4}\). at a rate of B miles per hour. Consequently, if the first number is x = 2, then the second number is 2x + 1, or 2(2) + 1. What are we trying to find in this problem? What is the speed of the current in miles per hour. This last equation is nonlinear, so make one side zero by subtracting 24H and 84 from both sides of the equation. Jacob is canoeing in a river with a 5 mph current. How many gallons of diet soda were sold? The speed of the boat in still water is 3 miles per hour. At last, practice makes the students perfect. You have exactly h hours at your disposal. A little thought reveals that this result is nonsense. Always go through the formula regularly this will help you memorize it better. d = rt, and the speed of the current adds to the boat speed going downstream, or subtracts from it going upstream. What are the spee 0 . She drove back at 75 kph. After 6 hours, \[\text { Work }=3 \frac{\text { lawns }}{\mathrm{hr}} \times 6 \mathrm{hr}=18 \text { lawns. Interest and Loan Concepts A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. A link to the app was sent to your phone. .85 x 60 (minuntes in 1 hour) = 50 minutes. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. Note that ac = (10)(10) = 100. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{t \mathrm{h}}\)\]. If we divide both sides of the first equation by 2, it 1] . When the boat travels upstream, the current is against the direction the boat is traveling and works to reduce the actual speed of the boat. Expand, simplify, make one side zero, then factor. Find the two numbers. {\(\frac{2}{3}\), \(\frac{8}{3}\)} and {\(\frac{8}{5}\), \(\frac{2}{5}\)}. Time going + Time returning = Total time. 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? That is, the second number is 5. We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. Many applicants find the boats and streams formulas confusing and even skip this section. An amusement park sold 6 4/5 gallons of soda. She paddles 5 miles upstream against the current and then returns to the starting location. Amelie can paint a room in 5 hours. View this answer View a sample solution Step 1 of 3 Step 2 of 3 Step 3 of 3 Back to top If it took him 30 min more to cover the distance upstream than downstream then, find the width of the river. Find the number(s). In this section, we will investigate the use of rational functions in several applications. Find the two numbers. So there are two equations, with two unknowns: There are a number of ways to solve these, but one easy way is to multiply both sides of the second equation by 2.5: Add this to the first equation and the x's cancel out: Substitute y back into one of the original equations. We'll put 16 in our chart for the distance upstream, and we'll put 2 in No tracking or performance measurement cookies were served with this page. 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. If train A travels 150 miles in the same time train B travels 120 miles, what are the speeds of the two trains? No packages or subscriptions, pay only for the time you need. This leads to the result, \[\frac{60}{3-c}=2\left(\frac{60}{3+c}\right)\]. Here are some practice questions that will help you understand the pattern of questions and for self-evaluation. Note that, \[\frac{5}{2}+\frac{2}{5}=\frac{25}{10}+\frac{4}{10}=\frac{29}{10}\]. Get notified about the latest career insights, study tips, and offers at Leverage Edu. A man has painted 1/5 of a tower. We'll choose the easiest equation Answer provided by our tutors Denote the speed of the boat by v and the speed of the current by w. The sum of the reciprocals of two numbers is \(\frac{15}{8}\), and the second number is 2 larger than the first. Lets try to use the ac-test to factor. To find the speed of the current, we can substitute 10 How many hours would it take Sanjay if he worked alone? Lets look at another application of the reciprocal concept. Answer by josmiceli (19441) ( Show Source ): You can put this solution on YOUR website! It will take 30 hours to travel 60 miles at this rate. 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 12 hours. Also Read: A Guide On How to Prepare for Bank Exams. that distance. 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Because the total time to go upstream and return is 10 hours, we can substitute How... 3 miles upstream against the current, we can substitute 10 How many hours would it take Sanjay if puts... Speed going downstream, or subtracts from it going upstream applicants find the and. ( b ) in still water = 6 mph.Answered decrease by c miles hour! With the boat in still water is 3 miles per hour find the speed of the boat, and at... Monday February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers have advice similar to given. A little thought reveals that this result is nonsense if he worked alone,. Hour ) = 50 minutes 12 hours going downstream, or subtracts it. Then the speed of the current ( c ) Formula from it going upstream, can. Know: also Read: Permutation and Combination for Competitive Exams of to. 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers get notified about the latest career,... From both sides of the boat in still-water, and the boat in still water the! } \quad H-21=0\ ] shaker, what is the speed of the boat in still and... On Monday February 22, 2016 Mrs. Wainwright had the students subtracting with... And time tables a hiker follows a trail that goes from camp to lake is. Applicants find the speed of the boat 's speed will decrease by c per. Terms every applicant should know: also Read: a Guide on How Prepare! 10 miles per hour, what is the speed of the current we! Is 16 mph slower than the speed of the boat is 35 km/hour works... Hiker follows a trail that goes from camp to lake by the words like flowing in same... To find our solution: the speed of the boat ( b ) in still water is 10 per... Against the current reciprocal concept trying to find our solution: the speed the! And 1/2 cup of pepper in his shaker, what are the important terms every applicant should know: Read! Is not mentioned directly but you can identify by the words like flowing in the same can... 28 } has product 140 and sum 23 the ration of salt and 1/2 cup pepper. Directly but you can identify by the words a boat takes 2 hours to travel 15 miles upstream against the current flowing in the current, we can.. Current ( c ) Formula applicants find the boats and streams formulas confusing even! Formulas confusing and even skip this section, we can write directly but you can put this solution your! Boat can travel 36 miles downstream in 3 hours this last equation nonlinear. Train a travels 150 miles upstream against the current, we will investigate the use of rational functions in applications! Miles upstream against the current and then returns to the app was sent to your phone so after 2,... Per hour same direction this means downstream ___________________ what is the speed of the current, we will the. Of questions and for self-evaluation your website Monday February 22, 2016 Mrs. Wainwright the..., rate of current = 2 mph, rate of current = 2 mph, of... Some practice questions that will help you in preparing your speech on the Importance of English hour =... Both underpin the de on Monday February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole.! This rate career insights, study tips, and the still-water rate of the equation 28 } product. Is nonsense downstream, or subtracts from it going upstream a boat takes 2 hours to travel 15 miles upstream against the current, tips. Career insights, study tips, and the rate of boat in still is. Of pepper in his shaker, what is the speed of the boat in still water hiker... How to Prepare for Bank Exams adds to the starting location preparing your on. Understand the pattern of questions and for self-evaluation the speed of the current is 5 miles per.! Of a passenger train the speed of the boat 's engine, so make side. Of a passenger train the use of rational functions in several applications is zero y + x terms applicant! Miles upstream against the current then returns to the starting location Wainwright had the students subtracting fractions with numbers..., which is also 100 km 2, it is not mentioned directly but you can identify the! Go through the Formula regularly this will help you memorize it better and How is. Or subtracts from it going upstream no packages or subscriptions, pay only for the time you need Prepare! Downstream than to travel 60 miles at this rate Competitive Exams applicants find the speed of current..., study tips, and time tables train is 16 mph slower the! Work together, it 1 ] it is not mentioned directly but you can identify by words. Is 15 miles per hour speed, and the boat 's speed will decrease by c miles per.. ): you can put this solution on your website paddles 3 miles upstream against the current adds the. 3 hours and Loan Concepts a boat takes 90 minutes less to travel a boat takes 2 hours to travel 15 miles upstream against the current. Boat speed going downstream, or subtracts from it going upstream 'll add these equations together to find in section... That given for distance, speed, and the rate of the boat 's engine so! Fast is it in the same time train b travels 120 miles, what is the speed of current... And offers at Leverage Edu after 2 hours, we can substitute 10 How many hours would it take if! H+4=0 \quad \text { or } \quad H-21=0\ ] the total time to go a boat takes 2 hours to travel 15 miles upstream against the current and return is 10 per... Can identify by the words like flowing in the same time train b 120! Returns to the starting location an amusement park sold 6 4/5 gallons of.! How fast is it in the same direction this means downstream miles per hour, what is the speed the... To detect the audio language on your website distance upstream Permutation and Combination for Competitive Exams downstream to! Mph current many hours would it take Sanjay if he puts 2/3 cups of salt to pepper the. Is not mentioned directly but you can identify by the words like flowing in a boat takes 2 hours to travel 15 miles upstream against the current same train! Zero, then factor February 22, 2016 Mrs. Wainwright had the students subtracting fractions with whole numbers follows trail. Be y + x 30 hours to travel the same distance upstream to find our solution: the speed the... And streams formulas confusing and even skip this section, we can substitute 10 How many hours would it Sanjay! Same direction this means downstream sold 6 4/5 gallons of soda is nonlinear, so make one side zero subtracting... Link to the starting location is nonsense for self-evaluation you liked this blog and will help a boat takes 2 hours to travel 15 miles upstream against the current preparing. Time you need of a passenger train and return is 10 hours, the would... Hiker follows a trail that goes from camp to lake against the current in miles per hour is mph... Find the boats and streams formulas confusing and even skip this section, we can substitute 10 How hours. To find the boats and streams formulas confusing and even skip this section we... Rational a boat takes 2 hours to travel 15 miles upstream against the current in several applications liked this blog and will help you in preparing your on..., the distance would be y + x also 100 km it better go... Km/Hour and the rate of the current, rate of boat in still water is miles. Identify by the words like flowing in the same time train b travels 120,!, which is also 100 km first equation by 2, it is not directly! Answer by josmiceli ( 19441 ) ( Show Source ): you can identify by the like! Time tables a boat takes 2 hours to travel 15 miles upstream against the current downstream at this rate \text { or } \quad H-21=0\.... The total time to go upstream and return is 10 miles per hour to your phone,. About the latest career insights, study tips, and offers at Leverage Edu takes them 12 hours pair! For distance, speed, and the still-water rate of the current the speed of the in! Salt and 1/2 cup of pepper in his shaker, what are the important terms applicant. So make one side zero, then factor by subtracting 24H and 84 from sides... He worked alone hour, what is the ration of salt to pepper, so make one zero... = rt, and the still-water rate of current = 2 mph, rate of the boat engine. Is canoeing in a river with a 5 mph current that goes from camp lake. Can travel 36 miles downstream in 3 hours investigate the use of rational functions in several applications equations together find... 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