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January 08 2018
Question A man can row 50 km upstream and 72 km downstream in 9 hours. He can also row 70 km upstream and 90 km downstream in 12 hours. Find the rate of current?

Let x and y be the upstream and downstream speed respectively.

Hence 50/x + 72/y = 9 and 70/x + 90/y = 12

Solving for x and y we get x = 10 km/hr and  y = 18 km/hr

We know that Speed of the stream = 1/2 * (Downstream speed - Upstream speed) = 1/2 (18 - 10) = 8/2 = 4 km/hr


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