A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?

We are given the following:

• Train A length = 270 meters
• Train A speed = 120 km/h
• Train B speed = 80 km/h
• Time to cross each other = 9 seconds
• Trains are moving in opposite directions

Step 1: Convert speeds to m/s
Train A speed = 120 × (5 / 18) = 33.33 m/s Train B speed = 80 × (5 / 18) = 22.22 m/s

Step 2: Relative speed
Relative speed = 33.33 + 22.22 = 55.55 m/s

Step 3: Total distance covered while crossing
Distance = Relative speed × Time = 55.55 × 9 = 500 meters

Step 4: Subtract length of first train to get second train length
Other train length = 500 – 270 = 230 meters

Answer:
The length of the other train is 230 meters.