Question

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

Answer 1

За x возьмем скорость первого, следовательно x+10 - скорость второго. Составляем уравнение:
8x + 8(x+10) = 784
8x + 8x = 784 - 80
16x = 704
x = 44 км/ч - скорость первого
44 + 10 = 54 км/ч - скорость второго

Answer 2

Это же легко! Я считаю что нужно сначала подумать а потом уже задавать вопросы. Не посчитайте грубостью

Answer 3

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 will be (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. Therefore, we can write the equation:

(x + 10) × 8 + x × 8 = 784

Simplifying the equation:

8x + 80 + 8x = 784

16x + 80 = 784

16x = 704

x = 704 / 16

x = 44

So, the speed of the second train is 44 km/h.

The speed of the first train is 10 km/h greater, so 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.