Quantitative Aptitude Ques 1678

Question: The ratio of the speeds of A and B is 3: 4. A takes 20 min more than the time taken by B to reach a particular place. Find the time taken by A and B, respectively to reach that place.

Options:

A) 40 min and 30 min

B) 80 min and 60 min

C) 90 min and 45 min

D) 90 min and 50 min

E) None of the above

Show Answer

Answer:

Correct Answer: B

Solution:

  • Ratio of speeds of A and B $ =3:4 $

$ \therefore $ Ratio of time taken $ =4:3 $ Let time taken by A and B be $ 4x $ and $ 3x, $ respectively. Then, according to the question, $ 4x-3x=20 $
$ \Rightarrow $ $ x=20 $ Hence, time taken by $ A=4\times 20=80\min $ and time taken by $ B=3\times 20=60\min $

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