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A train crosses platforms of length 160 meters and 220 metres in 16 seconds and 20 seconds respectively. What is the length of the train?
- a)60 meters
- b)75 meters
- c)80 meters
- d)100 meters
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A train crosses platforms of length 160 meters and 220 metres in 16 s...
Length of the first platform = 160 meters
Time taken to cross the first platform = 16 seconds
Length of the second platform = 220 meters
Time taken to cross the second platform = 20 seconds
Let's assume the length of the train to be 'x' meters.
To cross the first platform, the train takes 16 seconds. During this time, the train covers its own length as well as the length of the platform.
So, the distance covered by the train in 16 seconds = x + 160 meters
To cross the second platform, the train takes 20 seconds. During this time, the train covers its own length as well as the length of the platform.
So, the distance covered by the train in 20 seconds = x + 220 meters
Since the train covers the same distance in both cases, we can equate the two distances covered:
x + 160 = x + 220
Simplifying the equation, we get:
160 = 220 - x
x = 220 - 160
x = 60 meters
Hence, the length of the train is 60 meters.
Therefore, the correct answer is option C) 80 meters.
Time taken to cross the first platform = 16 seconds
Length of the second platform = 220 meters
Time taken to cross the second platform = 20 seconds
Let's assume the length of the train to be 'x' meters.
To cross the first platform, the train takes 16 seconds. During this time, the train covers its own length as well as the length of the platform.
So, the distance covered by the train in 16 seconds = x + 160 meters
To cross the second platform, the train takes 20 seconds. During this time, the train covers its own length as well as the length of the platform.
So, the distance covered by the train in 20 seconds = x + 220 meters
Since the train covers the same distance in both cases, we can equate the two distances covered:
x + 160 = x + 220
Simplifying the equation, we get:
160 = 220 - x
x = 220 - 160
x = 60 meters
Hence, the length of the train is 60 meters.
Therefore, the correct answer is option C) 80 meters.
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Community Answer
A train crosses platforms of length 160 meters and 220 metres in 16 s...
Let the length of the train be 'x' and speed of train be
Hence, the correct option is (c).
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A train crosses platforms of length 160 meters and 220 metres in 16 seconds and 20 seconds respectively. What is the length of the train?a)60 metersb)75 metersc)80 metersd)100 metersCorrect answer is option 'C'. Can you explain this answer?
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