A train 200 meters long running at 54 km/h takes 30 seconds to pass a bridge. The length of the bridge in meters is160 m250 m150 m65 m
Question
A train 200 meters long running at 54 km/h takes 30 seconds to pass a bridge. The length of the bridge in meters is:
- 160 m
- 250 m
- 150 m
- 65 m
Solution
To find the length of the bridge, we can use the formula:
Length of train + Length of bridge = Total distance covered
Given that the train is 200 meters long and it takes 30 seconds to pass the bridge, we can convert the train's speed from km/h to m/s:
54 km/h = (54 * 1000) / 3600 m/s = 15 m/s
Now, we can calculate the total distance covered by the train in 30 seconds:
Total distance = Speed * Time Total distance = 15 m/s * 30 s = 450 meters
Since the total distance covered is the sum of the train's length and the bridge's length, we can subtract the train's length from the total distance to find the length of the bridge:
Length of bridge = Total distance - Length of train Length of bridge = 450 meters - 200 meters = 250 meters
Therefore, the length of the bridge is 250 meters.
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