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?

Given Data

• Train length = 110 m
• Train speed = 60 km/hr
• Man runs at 6 km/hr in the opposite direction
• Required: time for train to pass the man

Step 1: Relative speed (opposite directions ⇒ sum)v_rel = 60 + 6 = 66 km/hr = 66 × (5/18) = 18.3333 m/s

Step 2: Time = distance ÷ speedDistance = train length = 110 mt = 110 ÷ 18.3333 = 6 s

Checks & Common Pitfalls

• Passing a person uses only the train length.
• Opposite directions ⇒ add speeds.

Final AnswerThe required time is 6 s.