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. |
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