Correct Answer - Option 3 : 360m
Given:
Speed of the train = 72km/hr
The train passes the platform in 48 sec and the passenger in 30 sec
Concept used:
Speed = distance/time
While a train crossing a man it actually crossing it's own length.
Calculation:
Speed of the train is 72 km/hr = 72 × (5/18) = 20 m/sec
Length of train = speed × time
⇒ 20 × 30 = 600 m
Now, accordingly
\(20 = \;\frac{{x + 600}}{{48}}\)
⇒ \(20 × 48 = x + 600\)
⇒ x = 960 - 600
⇒ x = 360
∴ The length of the platform is 360 meter.
