A man wants to cross a river of width \( 500 \mathrm{~m} \) in minimum distance. The rowing spee...

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A man wants to cross a river of width \( 500 \mathrm{~m} \) in minimum distance. The rowing speed of man relative
P
to water is \( 3 \mathrm{~km} / \mathrm{h} \) and river flows with speed \( 2 \mathrm{~km} / \mathrm{h} \).
W
The time taken by man to cross the river is
(1) \( 2 \sqrt{6} \) minute
(2) \( 6 \sqrt{3} \) minute
(3) \( 2 \sqrt{5} \) minute
(4) \( 6 \sqrt{5} \) minute
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