Quantitative Aptitude Ques 462

Question: A boat can travel 4.2 km upstream in 14 min. If the respective ratio of speed of the boat in still water and speed of the stream is 7: 1. How much time will the boat take to cover 17.6 km downstream?

Options:

A) 52 min

B) 44 min

C) 48 min

D) 36 min

E) 54 min

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the speed of boat in still water be 7x km/h and speed of stream be x km/h.

$ \therefore $ Speed in upstream $ =7x-x=6x,km/h $

$ \therefore $ $ 6x=\frac{4.2,km}{14,\min } $

$ \Rightarrow $ $ 6x=\frac{4.2}{14}\times 60,km/h $

$ \Rightarrow $ $ x=\frac{42\times 60}{10\times 14\times 6} $
$ \Rightarrow $ $ x=3 $ Speed of boat in still water $ =7\times 3=21,km/h $ Speed of stream = 3 km/h Distance downstream = 17.6 km Speed in downstream $ =21+3=24,km/h $ $ Time=\frac{Distance}{Speed}=\frac{17.6}{24}h $ $ =\frac{17.6}{24}\times 60\min =44\min $