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 $
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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 $