Question : A passenger train, 150 m long, is travelling at a speed of 36 km/hr. If a man is cycling in the direction of a train at 9 km/hr, the time taken by the train to pass the man is:
Option 1: 10 seconds
Option 2: 15 seconds
Option 3: 18 seconds
Option 4: 20 seconds
Correct Answer: 20 seconds
Solution :
Distance to be covered = 150 m
Relative speed = 36 – 9 = 27 km/hr = 27 × $\frac{5}{18}$ = $\frac{15}{2}$ m/s
$\therefore$ Time = $\frac{\text{length of the train}}{\text{Relative Speed}}$ = $\frac{150}{\frac{15}{2}}$ = 20 seconds
Hence, the correct answer is 20 seconds.
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