Quantitative Aptitude Ques 498

Question: A train passes a platform 120 m long in 40 s and a boy standing on the platform in 30 s. The length of the train is

Options:

A) 350 m

B) 360 m

C) 370 m

D) 380 m

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let the length of train be x m. Speed of train while crossing a platform $ =\frac{120+x}{40}m/s $ and speed of train while crossing a boy $ =\frac{x}{30} $

$ \therefore $ $ \frac{120+x}{40}=\frac{x}{30} $

$ \Rightarrow $ $ 3600+30x=40x $

$ \Rightarrow $ $ x=360,m $

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