Correct Answer - Option 2 : 150 meter
Given: crossing time = 5 seconds
Formula used :Time = Distance/ Speed = [Length of faster train + Length of man] / Relative Speed
Also, since two trains are running opposite to each other
Relative Speed (RS) = Speed of faster train + [Speed of man(= Speed of slower train)]
Calculation:
Accordingly,
RS = (50 + 58) kmph = 108 kmph
⇒ 108 × 5/18 m/s = 30 m/s
Time = [Length of faster train + Length of man] / Relative Speed
⇒ 5 = [Length of faster train + 0] / 30
⇒ Length of faster train = 5 sec. × 30 m/s = 150 meter
∴ The length of the faster train is 150 meter.