Question

A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?

• A. 120 m
• B. 240 m
• C. 300 m
• D. None of these

Answer 1

The correct option is B

240 m

Speed $=[54\times \frac{5}{18}]\frac{m}{sec}=15\frac{m}{sec}$
Length of the train = (15 $\times$ 20)m = 300 m.
Let the length of the platform be x meters.
Then, $\frac{x+300}{36}$=15
$\Rightarrow$ x+300=540
$\Rightarrow$ x=240 m.