Question

Пассажирский поезд за 4 часа прошёл такой же путь как товарный за 6 часов . Найти скорость каждого поезда если скорость пассажирского на 25 км/час больше скорости товарного .

Answer 1

Ответ:

ответ на картинке.....

Answer 2

Problem Analysis

We are given that a passenger train takes 4 hours to travel the same distance as a freight train takes 6 hours. The speed of the passenger train is 25 km/h greater than the speed of the freight train. We need to find the speed of each train.

Solution

Let's assume the speed of the freight train is x km/h. Since the speed of the passenger train is 25 km/h greater, the speed of the passenger train is x + 25 km/h.

We know that distance = speed × time. Since both trains travel the same distance, we can set up the following equation:

Distance traveled by the passenger train = Distance traveled by the freight train

Using the formula distance = speed × time, we can rewrite the equation as:

(x + 25) × 4 = x × 6

Now, let's solve this equation to find the values of x and x + 25.

Calculation

Expanding the equation, we get:

4x + 100 = 6x

Rearranging the equation, we get:

2x = 100

Dividing both sides by 2, we get:

x = 50

Substituting the value of x back into the equation, we can find the speed of the passenger train:

x + 25 = 50 + 25 = 75

Therefore, the speed of the freight train is 50 km/h and the speed of the passenger train is 75 km/h.

Answer

The speed of the freight train is 50 km/h and the speed of the passenger train is 75 km/h.