Quantitative Aptitude Ques 1613

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

Options:

A) 1 km/h

B) 1.5 km/h

C) 1.8 km/h

D) 3.6 km/h

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Suppose he moves 4 km downstream in x h. Then, Speed downstream $ =( \frac{4}{x} )km/h $ Speed upstream $ =( \frac{3}{x} )km/h $

$ \therefore $ $ \frac{48}{(4/x)}+\frac{48}{(3/x)}-14 $
$ \Rightarrow $ $ x=\frac{1}{2} $ So, speed downstream $ =8km/h, $ Speed upstream $ =6km/h $ Rate of the stream $ =\frac{1}{2}(8-6)km/h=1km/h $

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