Quantitative Aptitude Ques 1297

Question: A train 160 m long takes 8 s to cross a man running at 8 km/h in the direction opposite to that of the train. Find the speed of the train.

Options:

A) 64 km/h

B) 65 km/h

C) 61 km/h

D) 68 km/h

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the speed of the train be x km/h. Relative speed $ =(x+8)km/h $ $ =\frac{5,(x+8)}{18}m/s $ Relative speed $ =\frac{Lengthofthetrain}{Timetakenbytraintopasstheman} $

$ \Rightarrow $ $ \frac{5(x+8)}{18}=\frac{160}{8} $

$ \Rightarrow $ $ x+8=\frac{160\times 18}{5\times 8}=72 $

$ \Rightarrow $ $ x=72-8=64km/h $

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