A train crosses two bridges, one 400 meters long and the other 295 meters long, in 75 seconds and 60 seconds, respectively. Another train, 325 meters long, is moving in the same direction on parallel tracks at a speed of 97.2 km/h. How much time (in seconds) will it take for the first train to cross the second train?

Train Crossing Problem Solution

To solve this problem, we need to calculate the speed of the train and then determine the time it will take to cross another train.

1. Finding the speed of the train:

The train crosses a 400-meter bridge in 75 seconds, so its speed (V) is:

    V = distance / time = 400 / 75 = 5.33 m/s

Now, converting the speed to kilometers per hour:

    V = 5.33 * (3600 / 1000) = 19.2 km/h

The second train's speed is given as 97.2 km/h, which is:

    V_second = 97.2 * (1000 / 3600) = 27 m/s

The combined speed of both trains is:

    V_total = 5.33 + 27 = 32.33 m/s

The total length of the two trains is 325 meters + 400 meters = 725 meters. The time (t) taken to cross each other is:

    t = total distance / total speed = 725 / 32.33 = 22.4 seconds

Therefore, it will take approximately 22.4 seconds for the train to cross the other train.