The distance between stations A and B is 45 minutes faster for a passenger train than for a freight train.

| June 26, 2021 | education

The distance between stations A and B is 45 minutes faster for a passenger train than for a freight train. Determine this distance if it is known that the speed of the passenger train is 48 km / h, and the speed of the freight train is 36 km / h.

Let us assume that the distance between stations A and B is equal to x km.

The speed of a passenger train is 48 km / h, which means it will cover the distance x km in x / 48 hours.

The speed of a freight train is 36 km / h, which means it will cover the distance x km in x / 36 hours.

According to the condition of the problem, the travel time of a passenger train is less than that of a freight train by 45 minutes or 3/4 hours, which means we can draw up the following equation:

x / 36 – x / 48 = 3/4,

(4 * x – 3 * x) / 144 = 3/4,

4 * x = 144 * 3,

x = 144 * 3: 4,

x = 108 (km) – the distance from the station from A to B.



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