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

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.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.