Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-3

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?

A) 2.4

B) 1.5

C) 1.6

D) 2.0

E) None of these

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 \[=\frac{480}{4\times 60}m/s=2\,m/s\]