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Crossing the River (Minimum Distance)

A man can swi...

Question

A man can swim with 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, v_m = 4 km/h

Width of the river = 1 km

Time taken to cross the river

Speed of the river, v_r = 3 km/h

Distance covered with flow of the river = v_r × t

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