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

due north

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30^{\circ}

east of north

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30^{\circ}

west of north

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60^{\circ}

east of north

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Solution

The correct option is A due north
${\to V}_{S R} + {\to V}_{R G} = {\to V}_{S G}$
For minimum time, the swimmer should swim perpendicular to the direction of river flow. So, he should swim due north.

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

The correct option is A due north→VSR+→VRG=→VSG For minimum time, the swimmer should swim perpendicular to the direction of river flow. So, he should swim due north.

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

The correct option is A due north
${\to V}_{S R} + {\to V}_{R G} = {\to V}_{S G}$
For minimum time, the swimmer should swim perpendicular to the direction of river flow. So, he should swim due north.