A boat, which has a speed of 5km/h in still water, crosses a river of width 1km along the shortest path possible in 20 minutes. Find the velocity of the river?
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Shortest possible path,s=1km
Time taken, t=15min=0.25hr
Speed in the direction of shortest path,
st = v 2 −u 2
Where, v=5kmh
−1velocity of boat, u velocity of river.
ts=
v 2 −u
2 0.251 = 5 2−u 2u=3kmh −1Hence, velocity of river is 3kmh −1
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