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A motor boat can travel 5 km/hr in still water. It travelled 9 km downstream in river and then returned back taking altogether 10 hours. The rate of flow of water in the river is:

Solution

✅ Correct Option: 1

Let the stream speed be vv.

95+v+95−v=10\frac{9}{5+v}+\frac{9}{5-v}=10, so 9×1025−v2=10\frac{9\times10}{25-v^2}=10.

Then 25−v2=925-v^2=9, giving v2=16v^2=16 and v=4v=4 km/hr.

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