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A man can swim with a speed of 4.0 km/h ...

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 ?

Text Solution

Verified by Experts

Time to cross the river, `t = ("width of river")/("speed of man")`
`= (1km)/(4km//h) = (1)/(4)h = 15` min
Distance moved along the river in time
`t = v_(r) xx t = 3km//h xx (1)/(4)h = 750 m`.
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