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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?

Difficulty: Medium

200 m
230 m
250 m
270 m
None of these

Correct Answer: 230 m

Explanation:

Given Data

Train A length = 270 m; speed = 120 km/hr
Train B speed = 80 km/hr; length = ?
Opposite directions; crossing time = 9 s

Step 1: Relative speed
v_rel = 120 + 80 = 200 km/hr = 200 × (5/18) = 55.5556 m/s

Step 2: Distance = speed × time
(270 + L) = 55.5556 × 9 = 500 ⇒ L = 230 m

Final Answer
Other train's length is 230 m.

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