A train 50 m long passes a platform 100 m long in 10 seconds. Find the train’s speed in km/h.
Aptitude
Problems on Trains
Difficulty: Easy
Choose an option
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A10 km/h
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B15 km/h
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C54 km/h
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D100 km/h
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E36 km/h
Answer
Correct Answer: 54 km/h
Explanation
Introduction / Context:Total crossing distance over a platform equals train length plus platform length. With time given in seconds, compute speed in m/s and convert to km/h.
Given Data / Assumptions:
- L_train = 50 m; L_platform = 100 m.
- t = 10 s.
Concept / Approach:S = 150 m; v = S/t = 150/10 = 15 m/s; v_kmph = 15 * 3.6 = 54 km/h.
Step-by-Step Solution:
S = 150 m.v_mps = 150/10 = 15 m/s ⇒ v_kmph = 54 km/h.Verification / Alternative check:Matches result in earlier similar case (99384) after conversion.
Why Other Options Are Wrong:10, 15, 36, 100 km/h follow from mis-summing distances or skipping conversion.
Common Pitfalls:Taking only train length; forgetting 1 m/s = 3.6 km/h.
Final Answer:54 km/h