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 Data

• Speed of faster train = 46 km/hr
• Speed of slower train = 36 km/hr
• Time to completely pass = 36 s
• Both trains have equal length = L meters (unknown)

Step 1: Relative speed (same direction) Relative speed = 46 − 36 = 10 km/hr Convert to m/s using 1 km/hr = 5/18 m/s Relative speed = 10 × (5/18) = 50/18 = 25/9 m/s ≈ 2.777... m/s

Step 2: Distance to be covered to completely pass When one train overtakes another of equal length, the faster train must cover the sum of lengths. Distance = L + L = 2L

Step 3: Use Time = Distance ÷ Speed 2L = (Relative speed) × (Time) 2L = (25/9) × 36 = 25 × 4 = 100 m L = 100 ÷ 2 = 50 m

Final Answer The length of each train is 50 m.