Quantitative Aptitude Ques 1922

Question: A boat takes 9 h to travel a distance upstream and takes 3 h to travel the same distance downstream. If the speed of the boat in still water is 4 km/h, then what is the velocity of the stream?

Options:

A) 4 km/h

B) 3 km/h

C) 6 km/h

D) 2 km/h

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let velocity of the stream be $ xkm/h. $

$ \therefore $ Velocity of the boat downstream $ =(4+x)km/h $ and velocity of the boat upstream $ =(4-x)km/h $ According to the question, $ 3(4+x)=9(4-x) $

$ \Rightarrow $ $ 12+3x=36-9x $
$ \Rightarrow $ $ 12x=24 $

$ \therefore $ $ x=2km/h $

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