Question

Расстояние между двумя станциями 784 км. Одновременно вышли навстречу друг другу с этих станций два поезда. Они встретились через 8 часов. найдите скорость каждого поезда,если скорость первого на 10км/час больше скорости второго.

Answer 1

784 делим на 8, получаем 98. Это общая скорость. Составляем уравнение. 

х+(х+10)=98

2х+10=98

98-10=88

88:2=44 -- скорость второго поезда.

Так как скорость первого на 10 км/ч больше, значит 44 + 10 = 54. Проверяем:

44+54 = 98

98*8 = 784 -- всё верно.

Answer 2

Problem Analysis

We are given that the distance between two stations is 784 km. Two trains start simultaneously from these stations and meet each other after 8 hours. The speed of the first train is 10 km/h greater than the speed of the second train. We need to find the speed of each train.

Solution

Let's assume the speed of the second train is x km/h. Since the speed of the first train is 10 km/h greater, the speed of the first train is x + 10 km/h.

We can use the formula: Speed = Distance / Time to find the speed of each train.

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

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

According to the problem, the sum of these distances is equal to the total distance between the stations, which is 784 km.

So, we can set up the equation: (x + 10) * 8 + x * 8 = 784.

Simplifying the equation, we get: 16x + 80 = 784.

Solving for x, we find: x = 46.

Therefore, the speed of the second train is 46 km/h and the speed of the first train is 56 km/h.

Answer

The speed of the first train is 56 km/h and the speed of the second train is 46 km/h.