Question

Помогите . Из двух пунктов расстояние между которыми 210км выехали одновременно навстречу друг другу два поезда. Скорость одного поездана 5км/ч меньшескорости другого поезда. Найдите скорость каждого поезда если они встретились через 2 часа.

Answer 1

(х + х + 5 ) * 2 = 210
2х + 5 = 210 : 2
2х + 5 = 105
2х = 105 - 5
2х = 100
х = 100 : 2
х = 50 км/ч скорость одного поезда
50 + 5 = 55 км/ч скорость другого

или так

1) 210 : 2 = 105 км/ч скорость обоих поездов
2) 105 - 5 = 100 км/ч скорость обоих поездов без 5 км/ч
3) 100 : 2 = 50 км/ч скорость одного поезда
4) 50 + 5 = 55 км/ч скорость второго поезда

Answer 2

Problem Analysis

Two trains, traveling towards each other, cover a distance of 210 km in 2 hours. The speed of one train is 5 km/h less than the speed of the other train. We need to find the speed of each train.

Solution

Let's denote the speed of the first train as x km/h and the speed of the second train as (x + 5) km/h.

The total distance covered by both trains in 2 hours is 210 km. Using the formula distance = speed × time, we can set up the equation: 210 = (x + x + 5) × 2

Solving for x will give us the speed of the first train, and then we can find the speed of the second train.

Calculation

Using the equation 210 = (x + x + 5) × 2, we can solve for x: 210 = (2x + 5) × 2 210 = 4x + 10 4x = 200 x = 50

So, the speed of the first train (x) is 50 km/h and the speed of the second train (x + 5) is 55 km/h.

Therefore, the speed of the first train is 50 km/h and the speed of the second train is 55 km/h.

I hope this helps! If you have any other questions, feel free to ask.