SSC CGL Exam > SSC CGL Questions > A train crosses two bridges of lengths 500 me...
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A train crosses two bridges of lengths 500 meters and 800 meters in 40 seconds and 60 seconds respectively. What is the length of the train?
- a)100 meters
- b)120 meters
- c)150 meters
- d)180 meters
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A train crosses two bridges of lengths 500 meters and 800 meters in 40...
Understanding the Problem
To find the length of the train, we need to analyze how long it takes to cross two bridges of different lengths.
Bridge Lengths and Crossing Times
- Bridge 1: 500 meters crossed in 40 seconds
- Bridge 2: 800 meters crossed in 60 seconds
Calculating Train Speed
1. Speed for Bridge 1:
- Total distance = Length of train + Length of bridge = L + 500 meters
- Time taken = 40 seconds
- Speed = (L + 500) / 40
2. Speed for Bridge 2:
- Total distance = Length of train + Length of bridge = L + 800 meters
- Time taken = 60 seconds
- Speed = (L + 800) / 60
Setting Up Equations
Since speed is constant, we can set the two equations equal to each other:
(L + 500) / 40 = (L + 800) / 60
Cross-Multiplying
- 60(L + 500) = 40(L + 800)
- 60L + 30000 = 40L + 32000
Simplifying the Equation
1. Rearranging gives:
- 60L - 40L = 32000 - 30000
- 20L = 2000
2. Solving for L:
- L = 2000 / 20 = 100 meters
Conclusion
The length of the train is 100 meters. Thus, the correct answer is option 'A'.
To find the length of the train, we need to analyze how long it takes to cross two bridges of different lengths.
Bridge Lengths and Crossing Times
- Bridge 1: 500 meters crossed in 40 seconds
- Bridge 2: 800 meters crossed in 60 seconds
Calculating Train Speed
1. Speed for Bridge 1:
- Total distance = Length of train + Length of bridge = L + 500 meters
- Time taken = 40 seconds
- Speed = (L + 500) / 40
2. Speed for Bridge 2:
- Total distance = Length of train + Length of bridge = L + 800 meters
- Time taken = 60 seconds
- Speed = (L + 800) / 60
Setting Up Equations
Since speed is constant, we can set the two equations equal to each other:
(L + 500) / 40 = (L + 800) / 60
Cross-Multiplying
- 60(L + 500) = 40(L + 800)
- 60L + 30000 = 40L + 32000
Simplifying the Equation
1. Rearranging gives:
- 60L - 40L = 32000 - 30000
- 20L = 2000
2. Solving for L:
- L = 2000 / 20 = 100 meters
Conclusion
The length of the train is 100 meters. Thus, the correct answer is option 'A'.
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Community Answer
A train crosses two bridges of lengths 500 meters and 800 meters in 40...
200 meters
The train can cover 800 – 500 meters in 60 – 40 seconds.
Length of the train = 15 × 40 – 500 = 100 meters
Hence, Option A is correct.
The train can cover 800 – 500 meters in 60 – 40 seconds.
Length of the train = 15 × 40 – 500 = 100 meters
Hence, Option A is correct.
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A train crosses two bridges of lengths 500 meters and 800 meters in 40 seconds and 60 seconds respectively. What is the length of the train?a)100 metersb)120 metersc)150 metersd)180 metersCorrect answer is option 'A'. Can you explain this answer?
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