Question

Задача Пассажирский поезд за 4 часа прошел такое же расстояние, какое товарный за 6 часов. Найдите скорость товарного поезда, если известно, что его скорость на 20 км/ч меньше скорости пассажирского поезда. Ответ запишите по подробнее. Удачи!

Answer 1

Скорость товарного Х км/час ; скорость пассажирского ( Х + 20 ) км/час ; Уравнение : 4 * ( Х + 20 ) = 6х ; 4х + 80 = 6 Х ; 2х = 80 Х = 40 ( км/час ) скорость товарного поезда

Answer 2

Problem Analysis

We are given that a passenger train travels the same distance in 4 hours as a freight train does in 6 hours. We also know that the freight train's speed is 20 km/h less than the passenger train's speed. We need to find the speed of the freight train.

Solution

Let's assume the speed of the passenger train is x km/h. According to the problem, the freight train's speed is 20 km/h less than the passenger train's speed, so the speed of the freight train is x - 20 km/h.

We can use the formula speed = distance / time to find the distance traveled by each train.

The distance traveled by the passenger train in 4 hours is 4x km, and the distance traveled by the freight train in 6 hours is 6(x - 20) km.

Since both trains travel the same distance, we can set up the equation:

4x = 6(x - 20)

Now, let's solve this equation to find the value of x.

Calculation

Expanding the equation:

4x = 6x - 120

Rearranging the equation:

2x = 120

Dividing both sides by 2:

x = 60

So, the speed of the passenger train is 60 km/h.

Now, let's find the speed of the freight train. We know that the freight train's speed is 20 km/h less than the passenger train's speed, so:

Freight train's speed = 60 - 20 = 40 km/h

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

Answer

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