Two trains are moving in the same direction at 60 km/h and 42 km/h. The faster train crosses a man in the slower train in 36 seconds. Find the length of the faster train.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 180 m.
Let's denote the length of the faster train as L.
Relative Speed: Since both trains are moving in the same direction, the relative speed is the difference between their speeds:
⇒ Relative speed = 60 km/h - 42 km/h = 18 km/h
Converting km/h to m/s:
⇒ 18 km/h = 18 × (5/18) m/s = 5 m/s
Distance and Time:
Distance to be covered by the faster train to cross the man = Length of the faster train = L
Time taken to cover this distance = 36 seconds
Using the formula: Distance = Speed × Time
⇒ L = 5 m/s × 36 s
Therefore, the length of the faster train (L) is 180 meters.