A train 240 m long passes a bridge 120 m long in 24 seconds. Find the train’s speed in km/h.
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A45 km/h
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B54 km/h
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C36 km/h
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D42 km/h
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E48 km/h
Answer
Correct Answer: 54 km/h
Explanation
Introduction / Context:When crossing a bridge/platform, the train must cover its own length plus the structure’s length. Divide total distance by time to get speed, then convert to km/h if needed.
Given Data / Assumptions:
- L_train = 240 m.
- L_bridge = 120 m.
- t = 24 s.
Concept / Approach:Total distance S = 240 + 120 = 360 m. Speed v(m/s) = S / t; then convert to km/h by multiplying by 3.6.
Step-by-Step Solution:
v = 360/24 = 15 m/s.Convert: 15 * 3.6 = 54 km/h.Verification / Alternative check:If time were halved to 12 s for same distances, speed would double to 108 km/h—consistent with proportionality.
Why Other Options Are Wrong:36, 42, 45, 48 km/h arise from mis-adding lengths or conversion errors.
Common Pitfalls:Forgetting to add both lengths; mixing up 3.6 vs 5/18 conversion factors.
Final Answer:54 km/h