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A row-boat travels downstream on a river at a speed of 8 m/s with respect to the shore. A motor-boat comes from the opposite direction at a speed of 10 m/s with respect to the water. 10 seconds after meeting each other they are at 160 metres from each other. At what speed (in m/s) does the river flow
Correct Answer: 2
Let the river flow at $$u$$. Relative to the water, the row-boat moves at $$8 - u$$ downstream and the motor-boat at 10 m/s upstream, so they separate at $$18 - u$$. They are 160 m apart after 10 s, so $$18 - u = 16$$ and $$u = 2\text{ m/s}$$.
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