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A train passes two bridges of length 400 metres and 200 metres in 80 seconds and 60 seconds respectively. What is the length (in metres) of the train?
- a)200
- b)400
- c)350
- d)720
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A train passes two bridges of length 400 metres and 200 metres in 80 s...
Speed = Distance/Time
Let the length of train be ‘d’ m
Let the length of train be ‘d’ m
Total distance travelled will be the sum of length of bridge and the train
Speed of train while passing 400 m bridge = Total distance travelled/Time taken = (400 + x)/80
Speed of train while passing 200 m bridge = (200 + x)/60
As the speed of train is same,
(200 + x)/60 = (400 + x)/80
800 + 4x = 1200 + 3x
⇒ x = 400m
Length of train is 400 m
(200 + x)/60 = (400 + x)/80
800 + 4x = 1200 + 3x
⇒ x = 400m
Length of train is 400 m
Most Upvoted Answer
A train passes two bridges of length 400 metres and 200 metres in 80 s...
Given information:
- Length of the first bridge = 400 meters
- Length of the second bridge = 200 meters
- Time taken to pass the first bridge = 80 seconds
- Time taken to pass the second bridge = 60 seconds
Let's assume the length of the train is 'x' meters.
- Train passes the first bridge in 80 seconds:
- In 80 seconds, the train covers the length of the first bridge (400 meters) and its own length (x meters).
- So, the total distance covered by the train in 80 seconds = 400 meters + x meters.
- Train passes the second bridge in 60 seconds:
- In 60 seconds, the train covers the length of the second bridge (200 meters) and its own length (x meters).
- So, the total distance covered by the train in 60 seconds = 200 meters + x meters.
From the above information, we can set up the following equation:
Total distance covered in 80 seconds = Total distance covered in 60 seconds
(400 + x) meters = (200 + x) meters
Simplifying the equation, we get:
400 + x = 200 + x
By subtracting 'x' from both sides, we get:
400 = 200
This is not possible, and there must be an error in the given information or question.
However, if we assume that the time taken to pass each bridge is equal to the length of the bridge itself, then we can solve the problem.
- Length of the first bridge = 400 meters
- Time taken to pass the first bridge = 80 seconds
Let's assume the length of the train is 'x' meters.
- Train passes the first bridge in 80 seconds:
- In 80 seconds, the train covers the length of the first bridge (400 meters) and its own length (x meters).
- So, the total distance covered by the train in 80 seconds = 400 meters + x meters.
From the given information, we can set up the equation:
Total distance covered in 80 seconds = 400 meters + x meters
Since the total distance covered is equal to the length of the train, we can say:
Length of the train = Total distance covered in 80 seconds - 400 meters
Length of the train = 400 + x meters - 400 meters
Simplifying the equation, we get:
Length of the train = x meters
Therefore, the length of the train is 'x' meters. The correct answer cannot be determined without additional information or a correction in the given data.
- Length of the first bridge = 400 meters
- Length of the second bridge = 200 meters
- Time taken to pass the first bridge = 80 seconds
- Time taken to pass the second bridge = 60 seconds
Let's assume the length of the train is 'x' meters.
- Train passes the first bridge in 80 seconds:
- In 80 seconds, the train covers the length of the first bridge (400 meters) and its own length (x meters).
- So, the total distance covered by the train in 80 seconds = 400 meters + x meters.
- Train passes the second bridge in 60 seconds:
- In 60 seconds, the train covers the length of the second bridge (200 meters) and its own length (x meters).
- So, the total distance covered by the train in 60 seconds = 200 meters + x meters.
From the above information, we can set up the following equation:
Total distance covered in 80 seconds = Total distance covered in 60 seconds
(400 + x) meters = (200 + x) meters
Simplifying the equation, we get:
400 + x = 200 + x
By subtracting 'x' from both sides, we get:
400 = 200
This is not possible, and there must be an error in the given information or question.
However, if we assume that the time taken to pass each bridge is equal to the length of the bridge itself, then we can solve the problem.
- Length of the first bridge = 400 meters
- Time taken to pass the first bridge = 80 seconds
Let's assume the length of the train is 'x' meters.
- Train passes the first bridge in 80 seconds:
- In 80 seconds, the train covers the length of the first bridge (400 meters) and its own length (x meters).
- So, the total distance covered by the train in 80 seconds = 400 meters + x meters.
From the given information, we can set up the equation:
Total distance covered in 80 seconds = 400 meters + x meters
Since the total distance covered is equal to the length of the train, we can say:
Length of the train = Total distance covered in 80 seconds - 400 meters
Length of the train = 400 + x meters - 400 meters
Simplifying the equation, we get:
Length of the train = x meters
Therefore, the length of the train is 'x' meters. The correct answer cannot be determined without additional information or a correction in the given data.
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A train passes two bridges of length 400 metres and 200 metres in 80 seconds and 60 seconds respectively. What is the length (in metres) of the train?a)200b)400c)350d)720Correct answer is option 'B'. Can you explain this answer? for SSC 2026 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A train passes two bridges of length 400 metres and 200 metres in 80 seconds and 60 seconds respectively. What is the length (in metres) of the train?a)200b)400c)350d)720Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train passes two bridges of length 400 metres and 200 metres in 80 seconds and 60 seconds respectively. What is the length (in metres) of the train?a)200b)400c)350d)720Correct answer is option 'B'. Can you explain this answer?.
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