Question

Реши задачу по действиям. Из двух городоввышли одновременно навстречу друг другу поезда и встретились через 18 ч. Определи скорость каждого поезда, если расстояние между городами 1620 км, а скорость одногл поезда на 10 км больше, чем у другого.

Answer 1

1620:10=162 км
162:18=9

Answer 2

Problem Analysis

We are given that two trains start from two different cities and meet each other after 18 hours. The distance between the cities is 1620 km, and the speed of one train is 10 km/h greater than the speed of the other train. We need to determine the speed of each train.

Solution

Let's assume the speed of one train is x km/h. Then the speed of the other 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 18 hours is 18x km, and the distance covered by the second train in 18 hours is 18(x + 10) km.

According to the problem, the sum of these distances is equal to the total distance between the cities, which is 1620 km.

So, we can write the equation:

18x + 18(x + 10) = 1620

Simplifying the equation:

18x + 18x + 180 = 1620

36x + 180 = 1620

36x = 1440

x = 40

Therefore, the speed of one train is 40 km/h, and the speed of the other train is 50 km/h.

Answer

The speed of the first train is 40 km/h, and the speed of the second train is 50 km/h.