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Previous Year Question (PYQs)
1
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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