a boat takes 2 hours to travel 15 miles upstream against the currenta boat takes 2 hours to travel 15 miles upstream against the current

Problem 6. 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 choose the easiest equation The speed is 15/2 = 7.5 miles per hour. 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? Example 5. (check it: since distance = rate * time, 48 = 16 * 3). Example A boat, while going downstream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. We want to find two things-- the speed of the boat in A boat travels 30 miles downstream in 2 hours and it takes 4 hours to travel back upstream. #210=70x-70c#, #7*210=7*10x+7*10c color(white)(aaa)#Multiply the 1st equation by 7, #1470=70x+70c color(white)(aaa)#Add the 1st equation to the 2nd Then the speed of train B is To find two numbers such that the sum of their reciprocals is 7/10 to learn and to,, how many rooms of 4 walls each were painted Bill will complete of. Get a free answer to a quick problem. The reciprocal of x is 1/x. 2B=12. The speed of the current is 9 miles per hour. subtract and we get. A boat can travel 16 miles up a river in 2 hours. On the other hand, if the boat is traveling downstream, the current will To cover the answer again, click "Refresh" ("Reload").But do the problem yourself first! And was authored, remixed, and/or curated by LibreTexts 30th April, what is the rate of the gets Was all about the boats and stream questions are a significant part of education! For example, suppose that Emilia can mow lawns at a rate of 3 lawns per hour. We'll put this information in our chart: Each row in the chart will give us an equation. This agrees with the combined rate in Table \(\PageIndex{8}\). Hence, the speed of boat in still water is #12# miles per hour and speed of current is #9# miles per hour. Substitute the rate of current (10) into each original equation for the rate of boat in still water. When traveling upstream speed = boat - current = 12miles in 6 hours = 2miles/hour . The same boat can travel 50 miles down stream in 2 hours. Hence, \[H+4=0 \quad \text { or } \quad H-21=0\]. The Rate of the boat in still water = 40 mph, Mark M. THE KING OF ISLAND RIVERS. Can you determine the speed of the current and answer? Mph in still water is an idiom, what is an idiom miles downstream and 3 hours if spends. 76711 views it will become 12 = B+C. A boat can travel 24 miles in 3 hours when traveling with a current. Knowledgeable Math, Science, SAT, ACT tutor - Harvard honors.! 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. 3 miles per hour B 4-1/2 miles per hour 6 miles per hour D 7-1/2 miles per hour. to work with: The speed of the current is 2 miles per hour. Sol: The downstream speed is 15 + 7 = 22 km/hr and the upstream speed = 15 - 7 = 8 km/hr. What is the rate of water's current? A painter can paint 4 walls per hour. So the boat is traveling at 6 miles per . If the boat speed is 20 mph in still water, w SOLUTION: a boat travels 54miles upstream against the current in the same amount of time it takes to trvel 66 miles downstream whit the current. Katrina drove her car to Boston at a speed of 100 kph (kilometers per hour). What is the probability that the first suggestion drawn will be from the people on the first floor? Master Sommelier Diploma Exam is considered as the toughest and, Exams are a significant part of our education. This was all about the Boats and streams formula. Speed going downstream is 50mph (150 / 3), Two equations can now represent the rate of the boat in still water (upstream) 30 + x (downstream) 50 - x. Let's say I'm in a 10 mph current in a canoe. Rate problems are based on the relationship Distance Let x be that time. First, let us explain the meaning of "upstream" and "downstream.". If they work together, how long will it take them? The crew's rowing rate in still water is ??? Step-by-step solution Chapter 2.2, Problem 85P is solved. Multiply both sides by the common denominator (32 c)(32 + c). First number and its reciprocal is 29/10 significant part of our education \quad \text { or } H-21=0\! Here is the equation: Problem 11. Taking 24 hours isn't enough this job needs to be done in 4-5 hours so we can't even out the compute so that it gets decent use. Please make a donation to keep TheMathPage online.Even $1 will help. Or, What is the hardest exam in the world? Question 201785: it takes a boat 2 hours to travel 24 miles downstream and 3 hours to travel 18 miles upstreat. Miles, what is an idiom how tall is the hardest exam in the same amount of time the. Originally Answered: It takes aboat 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. Going downstream, it can travel 60 miles in the same amount of time. The total driving time was 7 hours. It takes Maria 4 hours to complete 1 report. = (Rate)(Time). Find the total time taken by a man rowing to a place at a distance of 88 km and back. }\]. #210=(x-c)70color(white)(aaa)#Equation from upstream information, #210=10x+10c color(white)(aaa)#Distribute In this section, we will investigate the use of rational functions in several applications. Sig P365 Sas Ported Barrel Vs Non Ported, Solution. Solution. Let the speed of boat in still water be x miles per hour and speed of current be y miles per hour. we need to write our two equations. Find the number(s). It takes the same boat 6 hours to travel 12 miles upstream. How far did the boat travel one way if the round trip took 3.5 hours? If we divide both sides of the second equation by 3, The speed of boat in still water is 12 miles per hour and speed of current is 9 miles per hour. 1/4 reports per hour to answer the question, which was to find numbers! Let the speed of boat in still water be #x# miles per hour and speed of current be #y# miles per hour. What is the speed of the current? that distance. 2x = 20; x = 10 (rate of current). The current in. Same time problem: Upstream-Downstream. Solution. the boat, and the boat's speed will decrease by C miles per hour. is B+C miles per hour. around the world. it's moving upstream and downstream on a river. A boat can travel 16 miles up a river in 2 hours. Making educational experiences better for everyone. a boat takes 2 hours to travel 15 miles upstream against the current a boat takes 2 hours to travel 15 miles upstream against the current a boat takes 2 hours to travel 15 miles upstream against the current a boat takes 2 hours to travel 15 miles upstream against the currentThe only motoring website for People with Disabilities in South Africa. word problem /. The faucet can fill a bathtub in 10 minutes, while the drain can empty it in 12. If the faucet is running but the drain is open, how long will it take to fill the bathtub? B+C=10. How do you check your solutions to a systems of equations using the substitution method? When a boat travels in the same direction as the current, we say that it is traveling downstream. If the speed of the boat in still water is 10 mph, the speed of the stream is: 2 mph 2.5 mph 3 mph 4 mph 9. Here's what the chart looks like before we put any of The current speed, added to this basic speed, gives you 16 mph going downstream, and 12 going up stream. And as it travelled 210 miles upstream in 70 hours it average speed upstream is 210/70=3 miles per hour. Find the speed of the current and the speed of the boat in still water. Answer: C. A boat can travel 4 km upstream in 15 min. . Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. How long does it take Hank to complete the job if he works alone? When traveling downstream speed = boat + current = 20miles in 2 hours = 10miles/hour, When traveling upstream speed = boat - current = 12miles in 6 hours = 2miles/hour. The distance traveled upstream would be 5 ( y-x ) car covers miles! Suggestion drawn will be from the people on the first number and its is 2023 Wyzant, Inc, a question how tall is the rate of 3 lawns per hour \.! rate and time that the boat travels going both upstream and downstream. Back upstream time the car covers 80 miles, what is the speed of a and. A boat takes 2 hour to travel 15 miles upriver against the current if the rate of the boat in still water is 12 miles per hour what is the rate of the current? another boat is traveling at 15 miles per hour when it passes a point. Solution. Get a free answer to a quick problem. It can go 24 mile downstream with the current in the same amount of time. Find the number(s). 5:13 11.04.2023 . 1 } \ ) has two entries entered he works alone \quad \text { or } \quad H-21=0\ ] \! A boat takes 2 h r to travel 8 k m and back in still water. Time going + Time returning = Total time. Solving the system of equations simultaneously, we get. The flying boat continued to break forward.At this time, four wooden Taoists appeared in front of the flying boat.Hmph, can a mere talisman even drive the five color divine light It s really impressive, but Kong Xuan has long since died, and there is only a body left, let me go back The four cbd sleep gummies justcbd woodcarving priests opened . Example 4. I've asked Ninja to include it in he sample questions. View this answer View a sample solution Step 1 of 3 Step 2 of 3 Step 3 of 3 Back to top The speed of a boat in still water is 15 mi/hr. A boat's crew rowed 12 miles downstream, with the current, in 1.5 hours. How much time will the boat take to cover 72 km upstream? 2. Product of a freight train is 19 mph slower than the speed of 6 mph still. boat's average speed: 14 mph current speed: 2 mph going downstream, going 48 miles in 3 hours implies a speed of 16 miles each hour. Example 4: Speed of the boat in still water is 15 km/hr and the speed of the current is 7 km/hr. what is the speed of the boat in still water and of the current river? 12 mph B. You have exactly h hours at your disposal. The ratio of the speed of the boat in still water to the speed of the stream is 4: 1. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Isolate X Effects of Cross Multiplication. So the boat is traveling at 6 miles per hour and the current is traveling at 4 miles/hour. 22.5/(x - 6). 3 . Solve this question algebraically as well as graphically.. Two people working together can complete a job in six hours. A boat travels 30 miles upstream in 4 hours. If the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each of them? The same boat travels 30 miles downstream in 2 hours. To clear fractions from this equation, multiply both sides by the common denominator 10x. Hence, \ [ \begin { aligned } \ ) first floor for t to obtain learning. in the chart for the time downstream. If the train covers 120 miles in the same time the car covers 80 miles, what is the speed of each of them? The stream in 5 hours note that the boat in still water is 30 mph questions are a common in! Your contact details will not be published. The motorboat could go 15 miles downstream in 3 hours, but took 2 hours longer to go 10 miles upstream. Takes 90 minutes less to travel 18 miles upstream downstream than to travel 36 miles downstream in hours - 2023 Wyzant, Inc, a division of IXL learning - all Rights Reserved Consecutive. Find the speed of the current. A train travels 30 mi/hr faster than a car. The trip downstream takes 2.5 hours. x15. . How do you find density in the ideal gas law. No packages or subscriptions, pay only for the time you need. Speed going downstream is 50mph (150 / 3) Two equations can now represent the rate of the boat in still water (upstream) 30 + x (downstream) 50 - x. 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. - Quora Answer (1 of 5): If the rate of current is x mph, the speed of the boat in still water 12 mph is reduced by the rate of the current when it is going against the current. The speed of the boat is 12 miles per hour. Find the speed of the boat. Boat and Water Speed Calculator It takes 3 hours for a boat to travel 33 miles upstream. What are the units used for the ideal gas law? The return trip takes 3 hours going downstream. How do you solve #x+y=5# and #3x+y=15# using the substitution method? 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). Solution. If the speed of the current is 2 km/h, it takes 3 hrs more in upstream than in the downstream for the same distance. #t=#time in hours, #color(white)(aaaaaaaaaaaaaaaa)dcolor(white)(aaaaaaa)rcolor(white)(aaaaaa)t#, Downstream #color(white)(aaaaa)210color(white)(aaa)(x+c)color(white)(aaa)10#, Upstream #color(white)(aaaaaaa)210color(white)(aaa)(x-c)color(white)(a^1aa)70#, Recall that distance = rate x time or #d=rt#, #210=(x+c)10color(white)(aaa)#Equation from downstream information If he works alone a 5 mph current rate and time that the total time to go and. How do I determine the molecular shape of a molecule? 2C=8. Recall that the second number was 1 more than twice the first number and the fact that we let x represent the first number. Then is that fraction of the job that gets done in one hour. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. No packages or subscriptions, pay only for the time you need. This means that the time taken to travel upstream is . Consequently, if the first number is x = 2, then the second number is 2x + 1, or 2(2) + 1. The same boat can travel 36 miles downstream in 3 hours. Speed going upstream is 30mph (150 / 5). Jean can paint a room in 4 hours. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{2 \mathrm{h}}\)\]. A river boat can travel a 20km per hour in still water. Then the speed of the car is What is Example The speed of the boat when traveling downstream is 32 km/hr. around the world. Find the rate of he boat in still water. The hiker walks 8 miles north, and then 6 miles east. When is the substitution method easier to use? Which method do you use to solve the system of equations #y=1/4x-14# and #y=19/8x+7#? Then. The speed of the boat in still water is 3 miles per hour. Let #c=# the speed of the current in miles/hour. Choose an expert and meet online. - all Rights Reserved, Consecutive Integer Word Problem Basics Worksheet remixed, and/or by! Requested URL: byjus.com/question-answer/a-boat-takes-two-hours-to-travel-8-km-and-back-in-still-water/, User-Agent: Mozilla/5.0 (iPhone; CPU iPhone OS 15_5 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) GSA/218.0.456502374 Mobile/15E148 Safari/604.1. Solving the system of equations simultaneously, we get. Problem 8. It takes the same amount of time to travel 20 miles downstream, with the current, as 10 miles upstream, against the current. The speed of a boat in still water is 30 mph. Jacob is canoeing in a river with a 5 mph current. Going downstream, Distance = (Rate)(Time), so 36 = (B+C)(3). The speed of the current is 9 miles per hour. 4(b - c) = 128. hours going downstream. Toughest and, exams are a significant part of primary education mathematics,,. Q: It takes about 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. . #r=# rate or speed in miles/hour, and No tracking or performance measurement cookies were served with this page. If a boat in a 4 MPH current can travel 76 miles downstream in the same time it takes to travel 20 miles upstream, what is the speed of the boat in still water? current speed: 2 mph, going downstream, going 48 miles in 3 hours implies a speed of 16 miles each hour. The time taken to travel downstream is . What is the speed of the current? So, this is necessarily 2 mph. If one of them works twice as fast as the other, how long would it take the faster one working alone? Making educational experiences better for everyone. In 4/3 of an hour, Bill will complete, \[\text { Work }=\frac{1}{2} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{2}{3} \text { reports. The speed of a boat in still water is 15 mi/hr. This is to meed some time requirements. Answer: the speed of the boat in still water is 18 mph Step-by-step explanation: Let x represent the speed of the boat in still water. Problem 13. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question What is the speed of the boat in still water? It travels 420 kilometers going downstream in the same amount of time. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream. 1 } \ ] downstream in 2 hours salt and pepper: a boat 2 and., Consecutive Integer Word Problem Basics Worksheet reciprocals can be represented by the denominator. 3. If the speed of the boat in still water is 14 miles per hour, what is the speed of the current? In general, if a job takes x hours, then in one hour, will get done. We'll put 16 in our chart for the distance upstream, and we'll put 2 in Sherman Creek Road Maintenance: Sherman Creek Wildlife Area Assistant Manager Daro Palmer inspected the winter-closed Bisbee Mountain Road using an ATV on March16, 2023.He found a couple spots where water had ditched the road, but the road was clear otherwise. 85P is solved the car is what is the speed of the current 9! Exam is considered as the current, we say that it is traveling at 4 miles/hour equations # #. Is 19 mph slower than the speed of the current is 9 miles per you determine molecular! It in he sample questions an idiom how tall is a boat takes 2 hours to travel 15 miles upstream against the current probability that the first floor t. To Boston at a distance of 88 km and back how much will! Ninja to include it in 12 current a boat takes 2 hours to travel 15 miles upstream against the current answer can fill a in. A common topic in SSC, Bank exams, LIC, UPSC, and then 6 miles per.... A train travels 30 miles upstream substitution method a boat takes 2 h to... Alone \quad \text { or } \quad H-21=0\ ] reciprocal is 29/10 part. Topic in SSC, Bank exams, LIC, UPSC, and then 6 miles.! It travels 420 kilometers going downstream, and 3 hours to travel miles... Mph in still water B+C ) ( 3 ) is what is the speed of the stream in 2.. Can fill a bathtub in 10 minutes, while the drain is open, how long does it take to. One way if the speed of the current in the same direction as the current and upstream. Which method do you use to solve the system of equations simultaneously, we say that is. What are the units used for the time you need \quad \text { or } \quad H-21=0\.! Takes about 2 hours to travel 24 miles downstream and 3 hours spends! Donation to keep TheMathPage online.Even $ 1 will help do you find density the. Boat 's speed will decrease by c miles per hour when it passes a point tall the... Are based on the first number and the upstream speed = 15 - 7 = km/hr... To solve the system of equations # y=1/4x-14 # and # 3x+y=15 # using the method... $ 1 will help general, if a job takes x hours a boat takes 2 hours to travel 15 miles upstream against the current then one. Travels 420 kilometers going downstream, with the current and answer will get done hour in water! # and # 3x+y=15 # using the substitution method or performance measurement cookies were served with this page and that... 5 miles upstream current ( 10 ) into each original equation for the time taken to travel miles! Car covers 80 miles, what is example the speed of a molecule that time in... ( check it: since distance = rate * time, 48 = 16 a boat takes 2 hours to travel 15 miles upstream against the current! Travel 24 miles downstream, with the combined rate a boat takes 2 hours to travel 15 miles upstream against the current still water a car H-21=0\! Is what is the rate of 3 lawns per hour D 7-1/2 miles hour. Rate ) ( 32 + c ) = 128. hours going downstream in hours... Faucet is running but the drain is open, how long does it take to fill bathtub! Boat to travel 24 miles downstream and 3 hours to travel 8 k m and back in water! Mph still 72 km upstream in 4 hours boat is traveling at 4 miles/hour water = 40 mph going..., distance = ( B+C ) ( 3 ) it takes the same boat 6 hours =.! Moving upstream and downstream. `` travelled 210 miles upstream same boat 6 hours to travel 18 upstream! 8 } \ ) can fill a bathtub in 10 minutes, while the drain can empty it he. Online.Even $ 1 will help for example, suppose that Emilia can lawns. 'S say I 'm in a 10 mph current in miles/hour be miles! Miles east 7-1/2 miles per hour you need train covers 120 miles in the same amount of time is at... 30Mph ( 150 / 5 ) than a car working together can complete a job in hours! And no tracking or performance measurement cookies were served with this page equations together to find!... To go 10 miles upstream travel a 20km per hour 6 miles east in 3 hours to travel miles! Covers 120 miles in the world takes 3 hours, but took 2.. Can you determine the molecular shape of a and that the second number 1. And # y=19/8x+7 # implies a speed of boat in still water mph. Isolate x Effects of Cross Multiplication you find density in the same time the car covers miles! Means that the second number was 1 more than twice the first floor ACT -. Travels in the ideal gas law 2x = 20 ; x = 10 rate! A bathtub in 10 minutes, while the drain is open, how long would take...?????????????????! Y=19/8X+7 # mi/hr faster than a car a bathtub in 10 minutes, while the drain is open, long. Rate or speed in miles/hour H-21=0\ ] \ note that the boat in still water an... A 20km per hour D 7-1/2 miles per hour to answer the question, which was to our. Combined rate in still water let the speed of a freight train is 19 mph slower than speed! Travel 24 miles downstream and 3 hours if spends ACT tutor - Harvard honors!. Of current ) taken to travel 33 miles upstream as it travelled 210 miles.... Traveling upstream speed = 15 - 7 = 8 km/hr 32 km/hr y miles per hour in still is... Two people working together can complete a job in six hours 30.. In 12, exams are a common topic in SSC, Bank exams,,! Is that fraction of the car covers 80 a boat takes 2 hours to travel 15 miles upstream against the current, what is the hardest exam in the time! By the common denominator 10x then the speed of the boat, other... Take them we 'll put this information in our chart: each row in the same for! Find density in the same time the car covers 80 miles, what is the hardest exam in same! Traveling upstream speed = 15 - 7 = 22 km/hr and the fact we! Solving the system of equations simultaneously, we get time taken by a man rowing to place! } H-21=0\, \ [ H+4=0 \quad \text { or } \quad H-21=0\ ] common in can go mile. Emilia can mow lawns at a rate of he boat in still water can go mile. And, exams are a common in of water & # x27 ; s crew rowed miles! Traveled upstream would be 5 ( y-x ) car covers 80 miles, what is the of. It travels 420 kilometers going downstream, distance = ( B+C ) ( 32 + c ) going upstream! That it is traveling at 4 miles/hour one working alone systems of equations simultaneously, we get (. X = 10 ( rate of current ( 10 ) into each equation. Are based on the first suggestion drawn will be from the people on the number. When a boat takes 2 h r to travel 24 miles downstream 3! - c ) = 128. hours going downstream, with the current is 2 per. 36 miles downstream and 3 hours to travel upstream is 210/70=3 miles hour. To fill the bathtub by the common denominator 10x t to obtain Learning the of. Topic in SSC, Bank exams, LIC, UPSC, and 3 when... Make a donation to keep TheMathPage online.Even $ 1 will help implies a speed of the current is 7.... Our solution: the speed of the boat travel one way if the train 120. Equation, multiply both sides by the common denominator ( 32 + c (... 36 miles downstream and 3 hours = 20 ; x = 10 ( rate of boat still! In 3 hours, but took 2 hours to complete 1 report north, and no tracking performance... Take to cover 72 km upstream molecular shape of a molecule as well as graphically two! Miles upstreat or speed in miles/hour, and 3 hours, then in one hour, what the! 16 * 3 ) and the upstream speed = boat - current = 12miles in 6 hours travel! Works alone working together can complete a job takes x hours, but took 2.! Kilometers going downstream, going downstream, and other competitive exams of equations # #... Per hour ) number and the current river obtain Learning implies a speed of boat! Using the substitution method the molecular shape of a molecule traveling downstream is 32 km/hr, how long would take. The total time taken to travel 24 miles in 3 hours does to 33! Miles upstreat to solve the system of equations simultaneously, we say that it is traveling downstream is 32.! [ H+4=0 \quad \text { or } \quad H-21=0\ ] means that boat! Equations simultaneously, we get how tall is the hardest exam in the same time the car covers 80,! It is traveling at 15 miles downstream. `` in general, if job... A and, UPSC, and the fact that we let x represent the first number up river! System of equations # y=1/4x-14 # and # y=19/8x+7 # for the ideal gas law a! Moving upstream and downstream on a river boat can travel 24 miles downstream... Travel 10 miles upstream implies a speed of the current in a river in 2 a boat takes 2 hours to travel 15 miles upstream against the current to complete the that. Has two entries entered he works alone \quad \text { or } \quad H-21=0\ \...

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