Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

Q: Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:

Given Equal lengths = L (each) Speeds = 46 km/h and 36 km/h (same direction) Overtake time = 36 s Compute Relative speed = (46 − 36) km/h = 10 km/h = 10 × (5/18) = 2.7778 m/sDistance to overtake = L + L = 2L2L = 2.7778 × 36 = 100 ⇒ L = 50 m

Difficulty: Easy

45 m
50 m
60 m
40 m

Correct Answer: 50 m

Explanation:

Given

Equal lengths = L (each)
Speeds = 46 km/h and 36 km/h (same direction)
Overtake time = 36 s

Compute
Relative speed = (46 − 36) km/h = 10 km/h = 10 × (5/18) = 2.7778 m/sDistance to overtake = L + L = 2L2L = 2.7778 × 36 = 100 ⇒ L = 50 m

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