A train of 150 metres crosses a railway bridge in 26 seconds at a spee...
Given information:
- Length of the train = 150 metres
- Time taken to cross the railway bridge = 26 seconds
- Speed of the train = 90 km/hr
Approach:
To find the length of the bridge, we need to calculate the distance covered by the train during the time it takes to cross the bridge. Since the train's speed is given in km/hr and the time is given in seconds, we first need to convert the speed from km/hr to m/s. Then we can use the formula: distance = speed × time to find the distance covered by the train.
Conversion:
- 90 km/hr = (90 × 1000) m/3600 s
- 90 km/hr = 25 m/s (approx.)
Calculating the distance:
- Using the formula: distance = speed × time
- distance = 25 m/s × 26 s
- distance = 650 meters
Calculating the length of the bridge:
- Total distance covered = distance covered by the train + length of the bridge
- 650 meters = 150 meters + length of the bridge
- length of the bridge = 650 meters - 150 meters
- length of the bridge = 500 meters
Conclusion:
Therefore, the length of the bridge is 500 meters, which corresponds to option A.