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A 280 meters long train travelling at a uniform speed, crosses a platform in 60 seconds and a man standing on the platform in 20 seconds. What is the length of the platform?
- a)640 meters
- b)420 meters
- c)280 meters
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Solution:
Given,
Length of the train = 280m
Time taken to cross the platform = 60s
Time taken to cross a man standing on the platform = 20s
Let's assume the length of the platform be 'x'.
When the train crosses a platform:
Distance covered by the train = Length of train + Length of platform
= 280 + x
Time taken = 60s
Speed of the train = Distance / Time
=> Speed = (280 + x) / 60
When the train crosses a man standing on the platform:
Distance covered by the train = Length of train + Distance covered by the platform
= 280 + x
Time taken = 20s
Speed of the train = Distance / Time
=> Speed = (280 + x) / 20
Since the speed of the train is constant,
(280 + x) / 60 = (280 + x) / 20
Solving the above equation, we get
x = 560m
Therefore, the length of the platform is 560m.
Hence, the correct answer is option 'D'.
Given,
Length of the train = 280m
Time taken to cross the platform = 60s
Time taken to cross a man standing on the platform = 20s
Let's assume the length of the platform be 'x'.
When the train crosses a platform:
Distance covered by the train = Length of train + Length of platform
= 280 + x
Time taken = 60s
Speed of the train = Distance / Time
=> Speed = (280 + x) / 60
When the train crosses a man standing on the platform:
Distance covered by the train = Length of train + Distance covered by the platform
= 280 + x
Time taken = 20s
Speed of the train = Distance / Time
=> Speed = (280 + x) / 20
Since the speed of the train is constant,
(280 + x) / 60 = (280 + x) / 20
Solving the above equation, we get
x = 560m
Therefore, the length of the platform is 560m.
Hence, the correct answer is option 'D'.
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A 280 meters long train travelling at a uniform speed, crosses a platform in 60 seconds and a man standing on the platform in 20 seconds. What is the length of the platform?a)640 metersb)420 meters c)280 meters d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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