Question

Навстречу друг другу с двух станций, расстояние между которыми 960 км, одновременно вышли два поезда и встретились через 8 часов. Найди скорость каждого поезда, если скорость одного из них на 10км/ч больше скорости другого

Answer 1

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Answer 2

Problem Analysis

We have two trains that start simultaneously from two different stations and meet after 8 hours. The distance between the stations is 960 km. One train is traveling 10 km/h faster than the other. We need to find the speed of each train.

Solution

Let's assume the speed of the slower train is x km/h. Then the speed of the faster train will be x + 10 km/h.

We can use the formula speed = distance / time to find the speed of each train.

The slower train travels for 8 hours, so the distance it covers is 8x km.

The faster train also travels for 8 hours, so the distance it covers is 8(x + 10) km.

Since the total distance covered by both trains is 960 km, we can set up the equation:

8x + 8(x + 10) = 960

Simplifying the equation:

8x + 8x + 80 = 960

16x + 80 = 960

16x = 880

x = 55

Therefore, the speed of the slower train is 55 km/h and the speed of the faster train is 65 km/h.

Answer

The speed of the slower train is 55 km/h and the speed of the faster train is 65 km/h.