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Previous Year Question (PYQs)



A man rows to a place 48 km distant and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:





Solution

Let speed in still water $= u$, stream speed $= v$ $\frac{4}{u+v} = \frac{3}{u-v}$ $4(u-v) = 3(u+v)$ $u = 7v$ Total time: $\frac{48}{u+v} + \frac{48}{u-v} = 14$ Substitute $u = 7v$: $\frac{48}{8v} + \frac{48}{6v} = 14$ $\frac{6}{v} + \frac{8}{v} = 14$ $\frac{14}{v} = 14 \Rightarrow v = 1$


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