Quantitative Aptitude Ques 1724

Question: Sameer can row a certain distance downstream in 24 h and can come back covering the same distance in 36 h. If the stream flows at the rate of 12 km/h. Find the speed of Sameer in still water.

Options:

A) 30 km/h

B) 15 km/h

C) 40 km/h

D) 60 km/h

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the speed of Sameer in still water be x km/h, Sameer’s speed downstream $ =(x+2)km/h $ Sameer’s speed upstream $ =(x-12)km/h $ According to the question, $ 24(x+12)=36(x-12) $

$ \Rightarrow $ $ 2x+24=3x-36 $

$ \Rightarrow $ $ x=36+24=60km/h $ Alternate Method Here, $ x=24h, $ $ y=36h, $ Rate of stream $ =12km/h $ According to the formula, Speed of Sameer in still water $ =\frac{a(x+y)}{(y-x)} $ $ =\frac{12\times (24+36)}{(36-24)}=\frac{60\times 12}{12}=60km/h $