Question

Из пункта A в пункт B вышел товарный поезд. Спустя 2 ч вслед за ним вышел скорый поезд, который шёл со скоростью, на 30 км\ч большей, чем товарный. Через 10 ч после своего выхода скорый поезд, обогнав товарный, находился от него на расстоянии 220 км. Найти скорость товарного поезда.

Answer 1

                      Скорость        Время      Расстояние
товарный п    х км/ч             10+2 ч       12х км
скорый п        (х+30) км/ч      10 ч          10(х+30) км - это на 220 км > T п
Составляем уравнение по условию задачи:
10(х+30)-12х=220
10х+300-12х=220
-2х = 220-300
-2х = - 80
  х= 40 км/ч -скорость товарного поезда

Answer 2

Problem Analysis

We are given that a freight train left point A and after 2 hours, a fast train left point B, traveling at a speed 30 km/h faster than the freight train. After 10 hours, the fast train overtook the freight train and was 220 km ahead of it. We need to find the speed of the freight train.

Solution

Let's assume the speed of the freight train is x km/h. Since the fast train is traveling 30 km/h faster, its speed is (x + 30) km/h.

We can use the formula distance = speed × time to calculate the distances traveled by both trains.

The freight train travels for a total of (2 + 10) = 12 hours. Therefore, the distance traveled by the freight train is 12x km.

The fast train travels for a total of 10 hours. Therefore, the distance traveled by the fast train is 10(x + 30) km.

According to the problem, the fast train is 220 km ahead of the freight train. Therefore, we can set up the equation:

10(x + 30) - 12x = 220

Simplifying the equation:

10x + 300 - 12x = 220

-2x = -80

Dividing both sides by -2:

x = 40

Therefore, the speed of the freight train is 40 km/h.

Answer

The speed of the freight train is 40 km/h.