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A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
- a)79.2 km/hr
- b)69 km/hr
- c)74 km/hr
- d)61 km/hr
Correct answer is option 'A'. Can you explain this answer?
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A train moves past a post and a platform 264 m long in 8 seconds and 2...
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A train moves past a post and a platform 264 m long in 8 seconds and 2...
Given:
Length of the platform = 264 m
Time taken to cross the post = 8 sec
Time taken to cross the platform = 20 sec
To find: Speed of the train
Formula used:
Speed = Distance / Time
Calculation:
Let the speed of the train be ‘x’ m/s
When the train crosses the post, the distance covered by it = length of the train
∴ Distance = Length of the train = x * 8
When the train crosses the platform, the distance covered by it = length of the train + length of the platform
∴ Distance = Length of the train + Length of the platform = x * 20
Equating the above two equations, we get:
x * 8 = x * 20 - 264
8x = 20x - 264
12x = 264
x = 22 m/s
To convert m/s to km/hr, we multiply by 18/5
∴ Speed of the train = 22 * 18/5 = 79.2 km/hr
Therefore, the speed of the train is 79.2 km/hr.
Length of the platform = 264 m
Time taken to cross the post = 8 sec
Time taken to cross the platform = 20 sec
To find: Speed of the train
Formula used:
Speed = Distance / Time
Calculation:
Let the speed of the train be ‘x’ m/s
When the train crosses the post, the distance covered by it = length of the train
∴ Distance = Length of the train = x * 8
When the train crosses the platform, the distance covered by it = length of the train + length of the platform
∴ Distance = Length of the train + Length of the platform = x * 20
Equating the above two equations, we get:
x * 8 = x * 20 - 264
8x = 20x - 264
12x = 264
x = 22 m/s
To convert m/s to km/hr, we multiply by 18/5
∴ Speed of the train = 22 * 18/5 = 79.2 km/hr
Therefore, the speed of the train is 79.2 km/hr.
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A train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?a)79.2 km/hr b)69 km/hrc)74 km/hrd)61 km/hrCorrect answer is option 'A'. Can you explain this answer?
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