A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?

We are given the following:

• Train length = 110 meters
• Train speed = 60 km/h
• Man speed = 6 km/h
• They are moving in opposite directions

Step 1: Convert speeds to m/s Train speed = 60 × (5 / 18) = 16.67 m/s Man speed = 6 × (5 / 18) = 1.67 m/s

Step 2: Relative speed (opposite direction) Relative speed = 16.67 + 1.67 = 18.34 m/s

Step 3: Time = Distance / Relative Speed Time = 110 / 18.34 ≈ 6 seconds

Answer: The train will pass the man in 6 seconds.