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A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
- a)270 m
- b)245 m
- c)235 m
- d)220 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A train ,130 meters long travels at a speed of 45 km/hr crosses a brid...
45*(5/18) = 12.5
=>(130+x)/12.5 = 30
=>(130+x) = 375
=> x = 375 - 130
=>x = 245
=>(130+x)/12.5 = 30
=>(130+x) = 375
=> x = 375 - 130
=>x = 245
Most Upvoted Answer
A train ,130 meters long travels at a speed of 45 km/hr crosses a brid...
Given information:
- Length of the train = 130 meters
- Speed of the train = 45 km/hr
- Time taken to cross the bridge = 30 seconds
To find: Length of the bridge
Approach:
- Let's first convert the speed of the train from km/hr to m/s, as the length of the train is given in meters and time is given in seconds.
- Then, we can use the formula: Distance = Speed × Time, to find the distance covered by the train in crossing the bridge.
- Finally, we can subtract the length of the train from the total distance covered to get the length of the bridge.
Calculation:
- Speed of the train = 45 km/hr = (45 × 1000) / (60 × 60) m/s = 12.5 m/s
- Distance covered by the train in 30 seconds = Speed × Time = 12.5 × 30 = 375 meters
- Total distance covered = Length of the train + Length of the bridge = 130 + Length of the bridge
- Length of the bridge = Total distance covered - Length of the train = 375 - 130 = 245 meters
Therefore, the length of the bridge is 245 meters, which is option (B).
- Length of the train = 130 meters
- Speed of the train = 45 km/hr
- Time taken to cross the bridge = 30 seconds
To find: Length of the bridge
Approach:
- Let's first convert the speed of the train from km/hr to m/s, as the length of the train is given in meters and time is given in seconds.
- Then, we can use the formula: Distance = Speed × Time, to find the distance covered by the train in crossing the bridge.
- Finally, we can subtract the length of the train from the total distance covered to get the length of the bridge.
Calculation:
- Speed of the train = 45 km/hr = (45 × 1000) / (60 × 60) m/s = 12.5 m/s
- Distance covered by the train in 30 seconds = Speed × Time = 12.5 × 30 = 375 meters
- Total distance covered = Length of the train + Length of the bridge = 130 + Length of the bridge
- Length of the bridge = Total distance covered - Length of the train = 375 - 130 = 245 meters
Therefore, the length of the bridge is 245 meters, which is option (B).
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A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge isa)270 m b)245 m c)235 m d)220 mCorrect answer is option 'B'. Can you explain this answer?
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