## 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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Mathematics
3 months
2021-07-21T02:50:19+00:00
2021-07-21T02:50:19+00:00 1 Answers
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## Answers ( )

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

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