A man can swim at the rate of 5km/hr in still water. a river 1km wide flows at the rate of 3km/hr. a swimmer wishes to cross

the river straight.Along what direction must he strike. what should be his resultant velocity. how much time he would take to cross.

Velocity of river w.r.t. ground is, V r = 3 km/h

Velocity man w.r.t. river is, V m = 5 km/h

Suppose the man starts swimming at an angle θ with the flow of river, such that, the man’s relative velocity w.r.t. ground is perpendicular to the flow of river.

Then,

The man swims with this velocity w.r.t. ground and reaches the opposite point on the bank which is 1 km away.

So, time taken is = ¼ = 0.25 h = 15 min

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