To find the time it takes for the train to cross a platform of 130m, we need to consider the total distance the train travels.
Let's break down the distances involved:
- Length of the train: 150m
- Length of the bridge: 250m
- Length of the platform: 130m
When the train crosses the bridge, it covers the combined distance of the train's length and the bridge's length. So the total distance covered during this time is:
150m (length of the train) + 250m (length of the bridge) = 400m
We know that the train crosses this 400m distance in 30 seconds.
Now, to find the time it takes for the train to cross the platform, we need to consider the additional distance covered, which is the length of the platform (130m). Therefore, the total distance the train needs to cover to cross both the bridge and the platform is:
400m (distance covered during bridge crossing) + 130m (length of the platform) = 530m
To calculate the time it takes for the train to cover this distance, we can set up a proportion:
400m / 30s = 530m / x
Solving for x (the time to cross the platform):
400 * x = 30 * 530
x = (30 * 530) / 400
x ≈ 39.75 seconds
Therefore, it takes approximately 39.75 seconds for the train to cross the platform of 130m.