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, then what is the length of the platform?

• A. $120$ m
• B. $240$ m
• C. $320$ m
• D. $110$ m

Answer 1

The correct option is B $240$ m

Speed of the train $=54\times \frac{5}{18}=15$ m/sec
$\therefore$ Length of the train $=15\times 20=300$ m
Let the length of the platform be $x$.
Then, $\frac{x+300}{36}=15$
$\Rightarrow x+300=540$
$\Rightarrow x=240$ m
Hence, the length of the platform is $240$ m.