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Find the length of the bridge, which a train 120 m long travelling at 54 kmph can cross in 30 seconds
Correct answer is '350'. Can you explain this answer?
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Find the length of the bridge, which a train 120 m long travelling at ...
350 m
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Find the length of the bridge, which a train 120 m long travelling at ...
Given:
- Length of the train = 120 m
- Speed of the train = 54 km/h
- Time taken to cross the bridge = 30 seconds
To find:
- Length of the bridge
Formula:
Speed = Distance / Time
Conversion:
- Speed is given in km/h, so we need to convert it to m/s to be consistent with the units used for length.
- 1 km/h = (1 * 1000) / (60 * 60) m/s = 5/18 m/s
Calculations:
Step 1: Convert the speed from km/h to m/s
- Speed = 54 km/h = (54 * 5/18) m/s = 15 m/s
Step 2: Calculate the distance covered by the train in 30 seconds
- Speed = Distance / Time
- Distance = Speed * Time
- Distance = 15 m/s * 30 s = 450 m
Step 3: Calculate the length of the bridge
- Total distance covered = Length of the train + Length of the bridge
- 450 m = 120 m + Length of the bridge
- Length of the bridge = 450 m - 120 m = 330 m
Answer:
The length of the bridge is 330 m.
- Length of the train = 120 m
- Speed of the train = 54 km/h
- Time taken to cross the bridge = 30 seconds
To find:
- Length of the bridge
Formula:
Speed = Distance / Time
Conversion:
- Speed is given in km/h, so we need to convert it to m/s to be consistent with the units used for length.
- 1 km/h = (1 * 1000) / (60 * 60) m/s = 5/18 m/s
Calculations:
Step 1: Convert the speed from km/h to m/s
- Speed = 54 km/h = (54 * 5/18) m/s = 15 m/s
Step 2: Calculate the distance covered by the train in 30 seconds
- Speed = Distance / Time
- Distance = Speed * Time
- Distance = 15 m/s * 30 s = 450 m
Step 3: Calculate the length of the bridge
- Total distance covered = Length of the train + Length of the bridge
- 450 m = 120 m + Length of the bridge
- Length of the bridge = 450 m - 120 m = 330 m
Answer:
The length of the bridge is 330 m.
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Community Answer
Find the length of the bridge, which a train 120 m long travelling at ...
54kmph×5/18=15mps
d=s×t
d=train lenght +bridge =15×30
120+b=450
b=330m
d=s×t
d=train lenght +bridge =15×30
120+b=450
b=330m
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Find the length of the bridge, which a train 120 m long travelling at 54 kmph can cross in 30 secondsCorrect answer is '350'. Can you explain this answer?
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