A man can swim at a speed of 4.0 km/h in still water. How long does he take to cross a river 1.0 km wide if the river flows steadily at 3.0 km/h and he makes his strokes normal to the river current? How far down the river does he go when he reaches the other bank?
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Solution: Speed of the man = 4 km/h and width of the river = 1 km
Time taken to cross the river = Width of the river / Speed of the river
= 1/4 h = 1/4 × 60 = 15 minutes
Speed of the river, vr = 3 km/h
Distance covered with flow of the river = vr × t
= 3 × 1/3 = 1/4
= 3/4 × 1000 = 750 m
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