Question

A train moving at a speed of 63 km/hr enters a railway station and crosses the platform in 20 sec. If the length of the train is 100 m, what is the length of the platform?

• A. 150 m
• B. 200 m
• C. 250 m
• D. 300 m

Hint:

Always convert speed to m/s when working with distances in meters and time in seconds.

Answer 1

The Correct Option is C

Convert the speed into m/s: \[ 63 \text{ km/hr} = \frac{63 \times 1000}{3600} = 17.5 \text{ m/s} \] Distance covered in 20 seconds: \[ \text{Distance} = \text{Speed} \times \text{Time} = 17.5 \times 20 = 350 \text{ m} \] Since the total distance includes both the train and the platform, and the train is 100 m long: \[ \text{Length of platform} = 350 - 100 = 250 \text{ m} \]