Quantitative Aptitude Ques 723

Question: A 300 m long train crosses a platform in 39 s while it crosses a signal pole in 18 s. What is the length of the platform?

Options:

A) 320 m

B) 350 m

C) 360 m

D) 400 m

Show Answer

Answer:

Correct Answer: B

Solution:

  • Speed of train $ =\frac{300}{18}=\frac{50}{3}m/s $ Let the length of the platform be x m. Then, $ \frac{x+300}{39}=\frac{50}{3} $

$ \Rightarrow $ $ 3,(x+300)=39\times 50 $

$ \Rightarrow $ $ 3x+900=1950 $

$ \Rightarrow $ $ 3x=1050 $
$ \Rightarrow $ $ x=350m $

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