A river is flowing from west to east at a speed of 5 \( \mathrm{P} ...

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A river is flowing from west to east at a speed of 5
\( \mathrm{P} \)
meters per minute. A man on the south bank of the
W
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.
(1) due north
(2) \( 30^{\circ} \) east of north
(3) \( 30^{\circ} \) north of west
(4) \( 60^{\circ} \) east of north
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