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A river is flowing from west to east at ...

A river is flowing from west to east at a speed of ` 5 metres per minute` . A man on the south bank of the river , capable of swimming at `10 metres per minute`, in still water , wants to swim across the river in the shortest time . He should swim in a direction

A

Due north

B

`30^@` east of north.

C

`30^@` west of north

D

`60^@` east of north.

Text Solution

Verified by Experts

The correct Answer is:
A
a. Time taken to cross the river ` t= d/(v_scostheta)`
For time to be minimum, `cos theta = max rArr theta = 0^@`

Hence, the swimmer should swim due north.
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