Quantitative Aptitude Ques 934

Question: A man standing on a platform finds that a train takes 3 s to pass him and another train of the same length moving in the opposite direction, takes 4 s. The time taken by the trains to pass each other will be

Options:

A) $ 2\frac{3}{7}s $

B) $ 3\frac{3}{7}s $

C) $ 4\frac{3}{7}s $

D) $ 5\frac{3}{7}s $

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the length of each train be $ xm. $ Then, speed of first train $ =\frac{x}{3}m/s $ Similarly, speed of second train $ =\frac{x}{4}m/s $

$ \therefore $ Relative speed $ =\frac{x}{3}+\frac{x}{4}=\frac{7x}{12}m/s $ $ Timetaken=\frac{Distance}{Speed}=\frac{2x}{\frac{7x}{12}}=\frac{24}{7}=3\frac{3}{7}s $

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