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A train 130 metres, running at a speed of 45 km/hr, crosses a bridge in 30 seconds. What is the length of the bridge ?
- a)200 m
- b)225 m
- c)245 m
- d)250 m
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A train 130 metres, running at a speed of 45 km/hr, crosses a bridge i...
Let the length of the bridge be = x metre Speed of the train = 45 km/hr
Distance = Speed × time
x = 375 – 130
= 245 metres
Most Upvoted Answer
A train 130 metres, running at a speed of 45 km/hr, crosses a bridge i...
To find the length of the bridge, we need to first calculate the actual speed of the train. Then we can use the formula:
Length of the bridge = Total distance covered - Length of the train
Let's break down the problem step by step:
1. Calculate the actual speed of the train:
- The given speed is 45 km/hr.
- We need to convert it to m/s as the time is given in seconds.
- 1 km/hr = 5/18 m/s (conversion factor)
- Therefore, the actual speed of the train is (45 * 5/18) m/s = 25/2 m/s = 12.5 m/s.
2. Calculate the total distance covered by the train:
- The train crosses the bridge in 30 seconds.
- We know the speed of the train, so we can use the formula: Distance = Speed × Time.
- Distance = (12.5 m/s) × (30 s) = 375 m.
3. Calculate the length of the train:
- The length of the train is given as 130 m.
4. Calculate the length of the bridge:
- Using the formula Length of the bridge = Total distance covered - Length of the train.
- Length of the bridge = 375 m - 130 m = 245 m.
Therefore, the length of the bridge is 245 m. Hence, option (c) is the correct answer.
Length of the bridge = Total distance covered - Length of the train
Let's break down the problem step by step:
1. Calculate the actual speed of the train:
- The given speed is 45 km/hr.
- We need to convert it to m/s as the time is given in seconds.
- 1 km/hr = 5/18 m/s (conversion factor)
- Therefore, the actual speed of the train is (45 * 5/18) m/s = 25/2 m/s = 12.5 m/s.
2. Calculate the total distance covered by the train:
- The train crosses the bridge in 30 seconds.
- We know the speed of the train, so we can use the formula: Distance = Speed × Time.
- Distance = (12.5 m/s) × (30 s) = 375 m.
3. Calculate the length of the train:
- The length of the train is given as 130 m.
4. Calculate the length of the bridge:
- Using the formula Length of the bridge = Total distance covered - Length of the train.
- Length of the bridge = 375 m - 130 m = 245 m.
Therefore, the length of the bridge is 245 m. Hence, option (c) is the correct answer.
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A train 130 metres, running at a speed of 45 km/hr, crosses a bridge in 30 seconds. What is the length of the bridge ?a)200 mb)225 mc)245 md)250 mCorrect answer is option 'C'. Can you explain this answer?
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