Quantitative Aptitude Ques 2368

Question: A boat covers a certain distance downstream in 1 h, while it comes back in $ 1\frac{1}{2}h. $ If the speed of the stream is 3 km/h, then what is the speed of the boat in still water?

Options:

A) 12 km/h

B) 13 km/h

C) 14 km/h

D) 15 km/h

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let the speed of the boat in still water be x km/h. Then, speed downstream $ =(x+3),km/h $ and speed upstream $ =(x-3),km/h $

$ \therefore $ $ (x+3)\times 1=(x-3)\times \frac{3}{2} $

$ \Rightarrow $ $ 2x+6=3x-9 $
$ \Rightarrow $ $ x=15,km/h $