Multiple choice

A train passes a platform and a man standing on the platform in 24 seconds and 10 seconds, respectively. If the speed of the train is 72 km/h, then find the length of the platform.

  1. 480 m

  2. 380 m

  3. 280 m

  4. 580 m

  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Speed of the train (V) = 72 km/h = 72 * 5/18 = 20 m/s 

Length of the train = L m and length of the platform = l m 

Time taken by the train to cross the man is 10 seconds. 

So, t = L/V 

10 = L/20

L = 200 m 

Now, time taken by the train to cross the platform is 24 seconds. 

So, t = (L + l)/V 

24 = (200 + l)/20 

l = 280 m

So, the length of the train is 280 m.