Question

A train 150 m long is travelling at a speed of 46 km/hr. A man is running at a speed of 8 km/hr in a direction opposite to the motion of the train. What would be the time taken by the train to cross the man (in seconds)?

• A. 10 sec
• B. 72sec
• C. 20sec
• D. 25sec

Answer 1

The correct option is A

10 sec

Time taken = Distance travelled / Speed

Here, Distance = length of the train( man doesn't have significant distance, so it is neglected) = 150 m

Speed, here it is Relative speed, as they are moving in opposite direction, their relative speed = 46 km/hr + 8 km/hr = 54 km/hr, but we have to convert it into m/s. So, $54\times \frac{5}{18}=15m/s$

So now, the time taken by the train to cross the man (in seconds)= $\frac{150m}{15m/s}=10sec$