Pole crossing – length from speed and time A train takes 9 s to cross a pole at 48 km/h. What is the train length?
Aptitude
Problems on Trains
Difficulty: Easy
Choose an option
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A150 m
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B120 m
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C90 m
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D80 m
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ENone of these
Answer
Correct Answer: 120 m
Explanation
Introduction / Context:When crossing a pole, the distance covered equals the train’s length. Convert speed to m/s and multiply by time to get length directly.
Given Data / Assumptions:
- v = 48 km/h = 13.333... m/s.
- t = 9 s.
Concept / Approach:L = v * t with consistent units.
Step-by-Step Solution:
L = (48 * 1000 / 3600) * 9 = 13.333... * 9 = 120 mVerification / Alternative check:At 13.333... m/s, 9 s gives exactly 120 m. Checks out.
Why Other Options Are Wrong:150 m, 90 m, 80 m: Do not match the computed product.
Common Pitfalls:Not converting km/h to m/s. Using 48 as m/s leads to large errors.
Final Answer:120 m