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

Since, Speed $=54$km/hr. $=54\times \frac{1000}{60\times 60}$m/s $=15$m/s

Length of the train $=20\times 15=300$ m [ $\because Distance=speed\times time$]

Let the length of the plateform $=x$ meter.

Since, $\frac{Distance}{Time}=speed$

$\therefore \frac{x+300}{36}=15$

$\Rightarrow x+300=540$

$\Rightarrow x=240$ meter

Option B is correct.