A river is flowing from east to west at a speed of $5\, m/min$ A man on south bank of river, capable of swimming $10\,m/min$ in still water, wants to swim across the river in shortest time. He should swim
Due north
Due north-east
Due north-east with double the speed of river
None of these
A river is flowing from east to west at a speed of $5\, m/min$ A man on south bank of river, capable of swimming $10\,m/min$ in still water, wants to swim across the river in shortest time. He should swim
For shortest time, swimmer should swim along $AB,$ so he will reach at point $C$ due to the velocity of river.
i.e. he should swim due north.