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The width of a river is 25 m and in it water is flowing with a velocity of 4 m/min. A boatman is standing on the bank of the river. He wants to sail the boat to a point at the other bank which is directly opposite to him. In what time will he cross the river, if he can sail the boat at 8 m/min, relative to the water. (mins)

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answer is 4.

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Detailed Solution

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$t = \frac{d}{\sqrt{U^{2} - V^{2}}} = \frac{25}{\sqrt{64 - 16}} = \frac{25}{\sqrt{48}}$

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The width of a river is 25 m and in it water is flowing with a velocity of 4 m/min. A boatman is standing on the bank of the river. He wants to sail the boat to a point at the other bank which is directly opposite to him. In what time will he cross the river, if he can sail the boat at 8 m/min, relative to the water. (mins)