SATHEE: Quantitative Aptitude Ques 2004

Quantitative Aptitude Ques 2004

Question: The ratio between the rates of travelling of A and B is 2: 3 and therefore A takes 20 min more than time taken by B to reach a destination. If A had walked at double the speed, how long would he have taken to cover the distance?

Options:

A) 30 min

B) 35 min

C) 20 min

D) 45 min

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

We know that, speed is inversely proportional to time. Therefore, Time taken by A: Time taken by $ B=\frac{1}{2}:\frac{1}{3} $ Let B takes x min. Then, A takes $ (x+20)\min . $

$ \therefore $ $ (x+20):x=\frac{1}{2}:\frac{1}{3}=3:2 $

$ \Rightarrow $ $ \frac{x+20}{x}=\frac{3}{2} $
$ \Rightarrow $ $ 2x+40=3x $

$ \therefore $ $ x=40 $

$ \therefore $ A takes $ (x+20) $ or $ (40+20)=60\min $

$ \therefore $ At double the speed, A would have covered it in 30 min.

Quantitative Aptitude Ques 2003

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