Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-11

A train running at speed 54 km/h crosses a passenger standing on a platform of length 200 m in 10 s. Length of train is                                                                                                    [FCI (Assistant) 2015]

A) 140 m

B) 154 m

C) 145 m

D) 150 m

Correct Answer: D

Solution :

Let length of train be x m.

\[\therefore \] Time taken by train to cross the passenger

\[=\frac{\text{Length}\,\text{of}\,\text{train}}{\text{Speed}\,\text{of}\,\text{train}}\]

\[\Rightarrow \] \[\text{10}\,\,\text{=}\,\,\frac{x}{54\times \frac{5}{18}}\]\[\Rightarrow \]\[10=\frac{x\times 18}{54\times 5}\]

\[\Rightarrow \] \[x=\frac{10\times 54\times 5}{18}\]\[\Rightarrow \]\[x=3\times 50\]

\[\therefore \] \[x=150\,m\]

So, length of train = 150 m

Here, train crosses a passenger, so length of platform will not be added in the length of train.