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A boat-man can row a boat to make it move with a speed of \( 10 \mathrm{~km} / \mathrm{h} \) in still water. River flows steadily at the rate of \( 5 \mathrm{~km} / \mathrm{h} \). and the width of the river - is \( 2 \mathrm{~km} \). If the boat man cross the river along the - minimum distance of approach then time elapsed - in rowing the boat will be :
(1) \( \frac{2 \sqrt{3}}{5} \mathrm{~h} \)
(2) \( \frac{2}{5 \sqrt{3}} \mathrm{~h} \)
(3) \( \frac{3 \sqrt{2}}{5} \mathrm{~h} \)
(4) \( \frac{5 \sqrt{2}}{3} \mathrm{~h} \)
\( \mathrm{P} \)
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