Quantitative Aptitude Ques 2182

Question: Walking at $ \frac{3}{4}th $ of his usual speed, a man reaches his office 20 min late. What is the time taken by him to reach the office at his usual speed?

Options:

A) 80 min

B) 70 min

C) 60 min

D) 50 min

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let usual speed of the man be x km/h. Then, new speed $ =\frac{3}{4}x $ Let D is the distance to cover. $ \frac{D}{\frac{3}{4}x}-\frac{D}{x}=\frac{20}{60} $
    $ \Rightarrow $ $ \frac{4D}{3x}-\frac{D}{x}=\frac{20}{60} $

$ \Rightarrow $ $ \frac{D}{3x}=\frac{1}{3} $
$ \Rightarrow $ $ \frac{D}{x}=1h=60,min $

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