A train runs at 18 km/h and its length is 120 m. How many seconds will it take to cross a man standing on a platform?
Aptitude
Problems on Trains
Difficulty: Easy
Choose an option
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A22 s
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B44 s
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C12 s
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D24 s
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E36 s
Answer
Correct Answer: 24 s
Explanation
Introduction / Context:Passing a stationary man requires the train to cover its own length. Convert speed to m/s and divide train length by that speed to get the time.
Given Data / Assumptions:
- L = 120 m.
- v = 18 km/h.
Concept / Approach:v_mps = 18 * 5/18 = 5 m/s. t = L / v_mps = 120 / 5 seconds.
Step-by-Step Solution:
v_mps = 5 m/s.t = 120 / 5 = 24 s.Verification / Alternative check:Back conversion: 24 s at 5 m/s covers 120 m—the train length.
Why Other Options Are Wrong:12, 22, 36, 44 s misapply conversions or lengths.
Common Pitfalls:Adding platform length (not needed); forgetting to convert km/h to m/s.
Final Answer:24 s