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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^(@)` each of north

C

`30^(@)` west of north

D

`60^(@)` east of north

Text Solution

Verified by Experts

The correct Answer is:
a
Time taken to cross the river t`t=(d)/(v_(s) cos theta)` for time to be minimum `cos theta =max rarr theta =0^(@)` hence the swimmer should swi due north
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