The length of a train is 150 meters. In 3 seconds, it passes a man moving at a speed of 2 km/h in the same direction as the train. Determine the train's speed.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 182 km/h.
Given:
The length of a train = 150 meters
Speed of the man = 2 km/h
Formula Used:
Time = Distance/Speed
Relative speed in same direction = Difference between the speeds of the man and the train
Explanation:
Let the speed of the train be x km/h.
Relative speed of the train and the man = (x - 2) km/h
According to the question,
⇒ 3 = 150/(x - 2)
⇒ x - 2 = (150/3) × (18/5)
⇒ x - 2 = 180
⇒ x = 182 km/h