A man can swim with speed of $4 kmph$ in still water. He crosses $1 km$ wide river making strokes normal to river current. The river flows steadily at $3 kmph$ . How far down the river, he drifts when he reaches the other bank?

500 m

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$600 m$

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750 m

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1000 m

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Solution

The correct option is C $750 m$
Motion is two dimensional

Time taken to cross the river
$t = \frac{w}{(v_{m})_{⊥_{r}}} = \frac{1 km}{4 km/h} = \frac{1}{4} h$
In this time river will carry man downwards
$D = v_{r} \times t = 3 \times \frac{1}{4} = \frac{3}{4} km = 750 m$

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A man can swim with speed of 4 kmph in still water. He crosses 1 km wide river making strokes normal to river current. The river flows steadily at 3 kmph. How far down the river, he drifts when he reaches the other bank?

The correct option is C 750 mMotion is two dimensional Time taken to cross the river t=w(vm)⊥r=1 km4 km/h=14 h In this time river will carry man downwards D=vr×t=3×14=34 km=750 m

A man can swim with speed of $4 kmph$ in still water. He crosses $1 km$ wide river making strokes normal to river current. The river flows steadily at $3 kmph$ . How far down the river, he drifts when he reaches the other bank?

The correct option is C $750 m$
Motion is two dimensional

Time taken to cross the river
$t = \frac{w}{(v_{m})_{⊥_{r}}} = \frac{1 km}{4 km/h} = \frac{1}{4} h$
In this time river will carry man downwards
$D = v_{r} \times t = 3 \times \frac{1}{4} = \frac{3}{4} km = 750 m$