One of the two trains traveling at the same speed took 8 hours to travel, and the other 5 hours.

One of the two trains traveling at the same speed took 8 hours to travel, and the other 5 hours. The second train traveled 204 km less than the first. How many kilometers did each train travel?

Let the speed of two trains be x kilometers per hour, then the first train covered 8 * x kilometers in 8 hours of its journey, and the second train covered 5 * x kilometers. We know that the second train traveled 204 kilometers less than the first. Let’s make the equation:
8 * x – 5 * x = 204;
x * (8 – 5) = 204;
x * 3 = 204;
x = 204: 3;
x = 68 kilometers per hour – train speed;
68 * 8 = 544 kilometers – the distance traveled by the first train in 8 hours of movement;
5 * 68 = 340 kilometers – the distance traveled by the second train in 5 hours of movement.
Answer: 544 kilometers; 340 kilometers.