Question

A train 165 m long is running at the speed of 60 km/hr. Find the time taken to pass a man who is running at a speed of 6 km/hr in the same direction as that of the train?

• A. 10 s
• B. 15 s
• C. 18 s
• D. 11 s

Answer 1

The correct option is D

11 s

Given,
Speed of man $\left(S2\right)$ = 6 km/hr
Speed of the train $\left(S1\right)$ = 60 km/hr

The man and the train are moving in the same direction,so the relative speed $=$ $(S1-S2)=(60-6)=54\text{km/hr}$

Converting it to m/s,
$54\times \frac{5}{18}=15\text{m/s}$
Length of train = 165 m
Time taken by the train to pass the man is $\frac{\text{Distance}}{\text{Relative speed}}=\frac{165}{15}=11s$