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The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is :
- 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
The length of the bridge, which a train 130 metres long and travelling...
Speed = (45 x 5/18 )m/sec = ( 25/2 )m/sed
Time = 30 sec
Let the length of bridge be x metres
Then, 130 + x/30 = 25/2
⇒ 2(130 + x) = 750
⇒ x = 245m
Time = 30 sec
Let the length of bridge be x metres
Then, 130 + x/30 = 25/2
⇒ 2(130 + x) = 750
⇒ x = 245m
Most Upvoted Answer
The length of the bridge, which a train 130 metres long and travelling...
Speed = (45 x 5/18 )m/sec = ( 25/2 )m/sed
Time = 30 sec
Let the length of bridge be x metres
Then, 130 + x/30 = 25/2
⇒ 2(130 + x) = 750
⇒ x = 245m
Time = 30 sec
Let the length of bridge be x metres
Then, 130 + x/30 = 25/2
⇒ 2(130 + x) = 750
⇒ x = 245m
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Community Answer
The length of the bridge, which a train 130 metres long and travelling...
Understanding the Problem
To find the length of the bridge that a train can cross in a given time, we need to analyze the movement of the train relative to the bridge.
Given Data
- Length of the train: 130 meters
- Speed of the train: 45 km/hr
- Time taken to cross the bridge: 30 seconds
Convert Speed to Meters per Second
To make calculations easier, we convert the train's speed from km/hr to m/s:
- Speed in m/s = (Speed in km/hr × 1000) / 3600
- Speed = (45 × 1000) / 3600 = 12.5 m/s
Calculate Distance Covered in 30 Seconds
Now, we can calculate the total distance the train covers while crossing the bridge in 30 seconds:
- Distance = Speed × Time
- Distance = 12.5 m/s × 30 s = 375 meters
Determine the Length of the Bridge
The total distance covered by the train includes the length of the train plus the length of the bridge:
- Total Distance = Length of Train + Length of Bridge
- 375 meters = 130 meters + Length of Bridge
Now, we can find the length of the bridge:
- Length of Bridge = 375 meters - 130 meters
- Length of Bridge = 245 meters
Conclusion
The length of the bridge that the train can cross in 30 seconds is:
- 245 meters
Thus, the correct answer is option 'C'.
To find the length of the bridge that a train can cross in a given time, we need to analyze the movement of the train relative to the bridge.
Given Data
- Length of the train: 130 meters
- Speed of the train: 45 km/hr
- Time taken to cross the bridge: 30 seconds
Convert Speed to Meters per Second
To make calculations easier, we convert the train's speed from km/hr to m/s:
- Speed in m/s = (Speed in km/hr × 1000) / 3600
- Speed = (45 × 1000) / 3600 = 12.5 m/s
Calculate Distance Covered in 30 Seconds
Now, we can calculate the total distance the train covers while crossing the bridge in 30 seconds:
- Distance = Speed × Time
- Distance = 12.5 m/s × 30 s = 375 meters
Determine the Length of the Bridge
The total distance covered by the train includes the length of the train plus the length of the bridge:
- Total Distance = Length of Train + Length of Bridge
- 375 meters = 130 meters + Length of Bridge
Now, we can find the length of the bridge:
- Length of Bridge = 375 meters - 130 meters
- Length of Bridge = 245 meters
Conclusion
The length of the bridge that the train can cross in 30 seconds is:
- 245 meters
Thus, the correct answer is option 'C'.
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The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is :a)200 mb)225 mc)245 md)250 mCorrect answer is option 'C'. Can you explain this answer?
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