The passenger and freight train departed simultaneously in the same direction from two stations

| July 20, 2021 | education

The passenger and freight train departed simultaneously in the same direction from two stations, the distance between which is 256 km. The speed of the passenger train was 50% higher than the speed of the freight train, and 8 hours after leaving, the passenger train caught up with the freight train. at what speeds did they go?

1. We take as x (km / h) the speed with which the passenger train was traveling from its station. Freight train speed 0.5x.

2. The freight train proceeded in 8 hours from its station to the place where the passenger train caught up with it (caught up with it) 0.5x x 8 = 4x kilometers, the passenger train went from its station to the place where it caught up with the freight train for the same time is 8 kilometers.

3. Let’s make the equation:

8x = 256 + 4x;

4x = 256;

x = 64 km / h.

Freight train speed 64 x 0.5 = 32 km / h.

Answer: the speed of a passenger train is 64 km / h, a freight train is 32 km / h.



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