A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Aptitude
Problems on Trains
Difficulty: Medium
Choose an option
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A300 m
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B320 m
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C350 m
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D380 m
Answer
Correct Answer: 350 m
Explanation
Given Data
- Train length = 300 m
- Time to pass a pole = 18 s
- Time to pass a platform = 39 s
- Required: platform length
Step 1: Find train speed from pole crossingSpeed v = distance ÷ time = 300 ÷ 18 = 16.6667 m/s = 50/3 m/s
Step 2: Use platform crossing to get total distanceTotal distance = v × 39 = (50/3) × 39 = 650 mPlatform length = total distance − train length = 650 − 300 = 350 m
Checks & Common Pitfalls
- For a pole, use only train length to compute speed.
- For a platform, add platform length to train length.
Final AnswerThe platform length is 350 m.