A train 268 m long is moving at a speed of 58 km/h. How much time will it take to cross a man coming from the opposite direction at a speed of 14 km/h?

Correct option is D

Given:

Train length = 268 m

Train speed = 58 km/h

Man speed = 14 km/h (opposite direction)

Formula Used:

Relative speed in opposite direction = sum of speeds

Distance = train length

Time = distance / relative speed

Solution: ​

Relative speed = 58 + 14 = 72 km/h

Convert relative speed to m/s:

​$$72 \times \frac{1000}{3600} = 20 \text{ m/s}$$​

Time = $$\frac{268 }{20 } = 13.4 \, \text{s}$$​​

Thus, The time taken to cross the man is 13.4 seconds