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A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?
- a)270 m
- b)210 m
- c)340 m
- d)130 m
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A train runs at the speed of 72 kmph and crosses a 250 m long platform...
Most Upvoted Answer
A train runs at the speed of 72 kmph and crosses a 250 m long platform...
Given information:
- Speed of the train = 72 kmph
- Length of the platform = 250 m
- Time taken to cross the platform = 26 seconds
To find: Length of the train
Let's assume the length of the train as 'L' meters.
- The train crosses the platform, which means it covers the length of the platform in the given time.
- The relative speed of the train with respect to the platform is the speed of the train itself.
- So, the distance covered by the train in crossing the platform is the sum of the length of the train and the length of the platform.
Distance covered by the train = Length of the train + Length of the platform
Using the formula:
- Distance = Speed × Time
- Length of the train + Length of the platform = 72 kmph × 26 seconds
Converting the speed from kmph to m/s:
- 72 kmph = (72 × 1000) / (60 × 60) m/s = 20 m/s
Substituting the values:
- Length of the train + 250 = 20 × 26
Simplifying the equation:
- Length of the train + 250 = 520
- Length of the train = 520 - 250 = 270 meters
Therefore, the length of the train is 270 meters. Hence, the correct answer is option 'A'.
- Speed of the train = 72 kmph
- Length of the platform = 250 m
- Time taken to cross the platform = 26 seconds
To find: Length of the train
Let's assume the length of the train as 'L' meters.
- The train crosses the platform, which means it covers the length of the platform in the given time.
- The relative speed of the train with respect to the platform is the speed of the train itself.
- So, the distance covered by the train in crossing the platform is the sum of the length of the train and the length of the platform.
Distance covered by the train = Length of the train + Length of the platform
Using the formula:
- Distance = Speed × Time
- Length of the train + Length of the platform = 72 kmph × 26 seconds
Converting the speed from kmph to m/s:
- 72 kmph = (72 × 1000) / (60 × 60) m/s = 20 m/s
Substituting the values:
- Length of the train + 250 = 20 × 26
Simplifying the equation:
- Length of the train + 250 = 520
- Length of the train = 520 - 250 = 270 meters
Therefore, the length of the train is 270 meters. Hence, the correct answer is option 'A'.
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Community Answer
A train runs at the speed of 72 kmph and crosses a 250 m long platform...
A
250+L = (72×1000/3600)*26
L=270
250+L = (72×1000/3600)*26
L=270
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A train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the train?a)270 mb)210 mc)340 md)130 mCorrect answer is option 'A'. Can you explain this answer?
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