A train, 200 m long, is running at a speed of 54 km/hr. The time in seconds that will be taken by the train to cross a 175 m long bridge is:
25
To solve this problem, we need to consider the total distance the train needs to cover to completely cross the bridge. This distance is the sum of the train's length and the bridge's length.
1. Calculate the total distance:
Total distance = Length of train + Length of bridge = 200 m + 175 m = 375 m
2. Convert the train's speed to meters per second:
Speed = 54 km/hr = \(54 \times \frac{1000}{3600}\) m/s = 15 m/s
3. Calculate the time taken to cross the bridge:
Time = \(\frac{\text{Total distance}}{\text{Speed}}\) = \(\frac{375 \text{ m}}{15 \text{ m/s}}\) = 25 s
Therefore, the time taken by the train to cross the 175 m long bridge is 25 seconds.
The key concept here is understanding that the train must travel its own length plus the length of the bridge to completely cross it. Converting units consistently (km/hr to m/s) is crucial for accurate calculation. The formula, Time = Distance/Speed, is fundamental in solving such problems related to speed, distance, and time. Accurate addition of the lengths and correct unit conversion is essential to derive the right answer.
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