Quantitative Aptitude Ques 929

Question: A person can row $ 7\frac{1}{2}km $ in $ 1h $ in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of

Options:

A) $ 2km/h $

B) $ 3km/h $

C) $ 2\frac{1}{2}km/h $

D) $ 3\frac{1}{2}km/h $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let speed of stream be $ y,km/h. $ Rate downstream $ =( \frac{15}{2}+y )km/h $ and rate upstream $ =( \frac{15}{2}-y )km/h $ Then, $ 2( \frac{15}{2}-y )=( \frac{15}{2}+y ) $

$ \Rightarrow $ $ 15-2y=7.5+y $

$ \Rightarrow $ $ 7.5=3y $
$ \Rightarrow $ $ y=2.5km/h $