Quantitative Aptitude Ques 345

Question: A boat running at the speed of 34 km/h downstream covers a distance of 4.8 km in 8 min. The same boat while running upstream at same speed covers the same distance in 9 min. What is the speed of the current?

Options:

A) 2.4 km/h

B) 3 km/h

C) 2 km/h

D) 3.2 km/h

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the speed of boat in still water be x km/h and that of current be y km/h.

$ \therefore $ $ x+y=\frac{4.8}{\frac{8}{60}}=\frac{4.8\times 60}{8}=36 $ and $ x-y=\frac{4.8}{\frac{9}{60}}=\frac{4.8\times 60}{9}=32 $ Solving for x and y, we get

$ \Rightarrow $ $ 2x=68 $

$ \Rightarrow $ $ x=34,km/h $ and $ y=2,km/h $

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