A boot travels 16 km upstream and 24 km downstream in 6 hours. The same boat travels 36 km upstream and 48 km downstream in 13 hou

Question

A boot travels 16 km upstream and 24 km downstream in 6 hours. The same boat travels 36 km upstream and 48 km downstream in 13 hours. Find the speed of water current and speed of boat in still water​

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Savannah 3 months 2021-07-21T02:50:19+00:00 1 Answers 0 views 0

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    2021-07-21T02:51:35+00:00

    Answer:

    Let the speed of the boat in still water be x km/hr and the speed of water current be y km/hr.

    speed of boat in downstream = (x + y) km/hr and that in upstream = (x – y) km/hr.

    Now distance = speed x  time Time = distance/speed Time taken by the boat to travel 16 km upstream = 16/(x-y) hours and it takes 24/(x+y) hours to travel 24 km downstream.

    from first condition –  Solving equations (III) and (IV) m = 1/4, n = 1/12 Repalcing m, n by their original values we get  x – y = 4 . . . (V)  x + y = 12 . . . (VI)  Solving equations (V), (VI) we get x = 8, y = 4  speed of the boat in still water is 8 km/hr. and speed of water current is 4

    Step-by-step explanation:

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