Quantitative Aptitude Ques 1624

Question: A 320 m long train moving with an average speed of 120 km/h crosses a platform in 24 s. A man crosses the same platform in 4 min. What is the speed of man in m/s?

Options:

A) 2.4

B) 1.5

C) 1.6

D) 2.0

E) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

  • [d] Speed of the train =120 km/h $ =120\times \frac{5}{18}=\frac{100}{3}m/s $ Suppose the length of the platform = x m Then, $ \frac{x+320}{\frac{100}{3}}=24 $

$ \Rightarrow $ $ 3,(x+320)=100\times 24 $

$ \Rightarrow $ $ x+320=800 $

$ \Rightarrow $ $ x=800-320=480,m $ Hence, speed of a man $ =\frac{480}{4\times 60}m/s=2,m/s $