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?
Aptitude
Problems on Trains
Difficulty: Medium
Choose an option
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A200 m
-
B230 m
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C250 m
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D270 m
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ENone of these
Answer
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 speedvrel = 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 AnswerOther train's length is 230 m.