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A Metro train of 120 m length is running on a bridge at the rate of 40 km/hr. The train crosses the bridge in 20 second. What is the length of the bridge?
- a)102.22 m
- b)60 m
- c)52.2 m
- d)150 m
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A Metro train of 120 m length is running on a bridge at the rate of 4...
Speed of Metro
Let the length of the bridge be x m.
Therefore
9(120 + x) = 200
9x = 2000 - 1080
9x = 920
x = 102.22
Most Upvoted Answer
A Metro train of 120 m length is running on a bridge at the rate of 4...
Let's break down the given information and solve the problem step by step:
Given:
- Length of the Metro train = 120 m
- Speed of the Metro train = 40 km/hr
- Time taken to cross the bridge = 20 seconds
We need to find the length of the bridge.
Step 1: Convert the speed from km/hr to m/s
- Speed = 40 km/hr = (40 * 1000) m/3600 s = 40000/3600 m/s ≈ 11.11 m/s
Step 2: Calculate the relative speed of the Metro train with respect to the bridge
- The Metro train is moving in a straight line, so its length is the same as the distance it covers while crossing the bridge.
- Let's assume the length of the bridge is 'x' meters.
- The total distance covered by the Metro train while crossing the bridge = Length of the Metro train + Length of the bridge = 120 m + x m = (120 + x) m
Step 3: Calculate the relative speed of the Metro train with respect to the bridge
- Relative speed = Distance/Time = (120 + x)/20 m/s
Step 4: Use the formula for relative speed to find the length of the bridge
- Relative speed = Length of the bridge/Time taken to cross the bridge
- (120 + x)/20 = 11.11
- 120 + x = 11.11 * 20
- 120 + x = 222.2
- x = 222.2 - 120
- x ≈ 102.2 m
Hence, the length of the bridge is approximately 102.2 meters.
Therefore, the correct answer is option 'A' - 102.2 m.
Given:
- Length of the Metro train = 120 m
- Speed of the Metro train = 40 km/hr
- Time taken to cross the bridge = 20 seconds
We need to find the length of the bridge.
Step 1: Convert the speed from km/hr to m/s
- Speed = 40 km/hr = (40 * 1000) m/3600 s = 40000/3600 m/s ≈ 11.11 m/s
Step 2: Calculate the relative speed of the Metro train with respect to the bridge
- The Metro train is moving in a straight line, so its length is the same as the distance it covers while crossing the bridge.
- Let's assume the length of the bridge is 'x' meters.
- The total distance covered by the Metro train while crossing the bridge = Length of the Metro train + Length of the bridge = 120 m + x m = (120 + x) m
Step 3: Calculate the relative speed of the Metro train with respect to the bridge
- Relative speed = Distance/Time = (120 + x)/20 m/s
Step 4: Use the formula for relative speed to find the length of the bridge
- Relative speed = Length of the bridge/Time taken to cross the bridge
- (120 + x)/20 = 11.11
- 120 + x = 11.11 * 20
- 120 + x = 222.2
- x = 222.2 - 120
- x ≈ 102.2 m
Hence, the length of the bridge is approximately 102.2 meters.
Therefore, the correct answer is option 'A' - 102.2 m.
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A Metro train of 120 m length is running on a bridge at the rate of 40 km/hr. The train crosses the bridge in 20 second. What is the length of the bridge?a)102.22 mb)60 mc)52.2 md)150 mCorrect answer is option 'A'. Can you explain this answer?
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