A boat which has speed of 8 km/h in still water crosses the river with a velocity of 7 km/h along the
shortest path. The velocity of the river in km/h is
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Explanation:
Shortest possible path,s=1km
Time taken, t=15min=0.25hr
Speed in the direction of shortest path,
t s = v 2 −u 2
Where, v=5kmh −1
velocity of boat, u velocity of river.
t s = v 2 −u 2 0.25 1 = 5 2 −u 2
u=3kmh −1
Hence, velocity of river is 3kmh −1
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