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A train 154 m long is running at 60km/hr. It takes 30 seconds to cross a bridge, find the length of the bridge.
- a)344 m
- b)345 m
- c)346 m
- d)347 m
Correct answer is option 'C'. Can you explain this answer?
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A train 154 m long is running at 60km/hr. It takes 30 seconds to cross...
Understanding the Problem
To find the length of the bridge crossed by the train, we need to calculate the total distance the train travels while crossing the bridge and then subtract the length of the train itself.
Given Data
- Length of the train: 154 m
- Speed of the train: 60 km/hr
- Time taken to cross the bridge: 30 seconds
Convert Speed to m/s
To work in consistent units, convert the speed from km/hr to m/s:
- Speed in m/s = (60 km/hr * 1000 m/km) / (3600 s/hr) = 16.67 m/s
Calculate Total Distance Covered
The total distance covered by the train while crossing the bridge can be calculated using the formula:
- Distance = Speed × Time
So,
- Distance = 16.67 m/s * 30 s = 500 m
Calculate Length of the Bridge
Now, to find the length of the bridge, use the formula:
- Length of the bridge = Total distance - Length of the train
Substituting the values:
- Length of the bridge = 500 m - 154 m = 346 m
Conclusion
Thus, the length of the bridge is 346 m, which corresponds to option 'C'.
In summary:
- Total distance = 500 m
- Length of the train = 154 m
- Length of the bridge = 346 m
This provides a clear, step-by-step solution to the problem.
To find the length of the bridge crossed by the train, we need to calculate the total distance the train travels while crossing the bridge and then subtract the length of the train itself.
Given Data
- Length of the train: 154 m
- Speed of the train: 60 km/hr
- Time taken to cross the bridge: 30 seconds
Convert Speed to m/s
To work in consistent units, convert the speed from km/hr to m/s:
- Speed in m/s = (60 km/hr * 1000 m/km) / (3600 s/hr) = 16.67 m/s
Calculate Total Distance Covered
The total distance covered by the train while crossing the bridge can be calculated using the formula:
- Distance = Speed × Time
So,
- Distance = 16.67 m/s * 30 s = 500 m
Calculate Length of the Bridge
Now, to find the length of the bridge, use the formula:
- Length of the bridge = Total distance - Length of the train
Substituting the values:
- Length of the bridge = 500 m - 154 m = 346 m
Conclusion
Thus, the length of the bridge is 346 m, which corresponds to option 'C'.
In summary:
- Total distance = 500 m
- Length of the train = 154 m
- Length of the bridge = 346 m
This provides a clear, step-by-step solution to the problem.
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A train 154 m long is running at 60km/hr. It takes 30 seconds to cross a bridge, find the length of the bridge.a)344 mb)345 mc)346 md)347 mCorrect answer is option 'C'. Can you explain this answer?
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