Multiple choice

A train of $350$ m long is moving at a speed of $32$ kmph. It will cross a man coming from opposite direction at a speed of $3$ kmph in ?

  1. $32$ sec
  2. $33$ sec
  3. $35$ sec
  4. $36$ sec
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Relative speed = 32 + 3 = 35 km/h = 35 * (5/18) m/s = 175/18 m/s. Length = 350 m. Time = 350 / (175/18) = 350 * 18 / 175 = 2 * 18 = 36 seconds.

AI explanation

Using the relative speed formula for opposite directions, add the speeds of the train and the man to get 35 kmph, which equals 350/36 m/s. The total distance to cross is the 350 m length of the train. The time required is distance divided by relative speed, giving 350 divided by 350/36, which equals 36 seconds.