Quantitative Aptitude Ques 2237

Question: A man can row $ 7\frac{1}{2}km/h $ in still water. If in a river running at $ 1.5km/h, $ it takes him 50 min to row to a place and back, how far off is the place?

Options:

A) $ 3km $

B) $ 4km $

C) $ 1km $

D) $ 2km $

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the distance be $ xkm. $ $ \because $ Speed of the man in still water $ =7\frac{1}{2}=7.5km/h $ and speed of the river $ =1.5km/h $

$ \therefore $ Speed of the man downstream $ =7.5+1.5=9 $ Speed the man upstream $ =7.5-1.5=6km/h $ According to the question, $ \frac{x}{9}+\frac{x}{6}=\frac{50}{60} $

$ \Rightarrow $ $ \frac{4x+6x}{36}=\frac{50}{60} $
$ \Rightarrow $ $ \frac{10x}{36}=\frac{50}{60} $
$ \Rightarrow $ $ \frac{50\times 36}{10\times 60} $

$ \Rightarrow $ $ x=3km $