Question

Расстояние между двумя станциями 784км. С этих станций одновременно навстречу друг другу вышли два поезда. Они встретились через 8часов. Найдите скорость каждого поезда, если скорость первого на 10км/ч больше скорости второго.

Answer 1

Я у же в пути осталось 8 часов дорогая

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 distance = speed × time to solve this problem. The distance covered by the first train in 8 hours is (x + 10) × 8 km, and the distance covered by the second train in 8 hours 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 write the equation:

(x + 10) × 8 + x × 8 = 784

Simplifying the equation, we get:

8x + 80 + 8x = 784

Combining like terms, we have:

16x + 80 = 784

Subtracting 80 from both sides, we get:

16x = 704

Dividing both sides by 16, we find:

x = 44

So the speed of the second train is 44 km/h, and the speed of the first train is 44 + 10 = 54 km/h.

Therefore, the speed of the first train is 54 km/h, and the speed of the second train is 44 km/h.

Answer

The speed of the first train is 54 km/h, and the speed of the second train is 44 km/h.