Question

Пассажирский поезд за 4 часа прошёл такое же расстояние,какое товарный за 6 часов. надите скорость пассажирского поезда,если извесно,чтоскорость товарного на 20 км/ч меньше.

Answer 1

Решение на фото)))))))))))))))))))))))))))))))

Answer 2

Problem Analysis

We are given that a passenger train takes 4 hours to travel the same distance that a freight train takes 6 hours to travel. We also know that the speed of the freight train is 20 km/h less than the speed of the passenger train. We need to find the speed of the passenger train.

Solution

Let's assume the speed of the passenger train is v km/h. Since the freight train's speed is 20 km/h less, its speed would be v - 20 km/h.

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

For the passenger train: - Speed: v km/h - Time: 4 hours - Distance: 4v km

For the freight train: - Speed: v - 20 km/h - Time: 6 hours - Distance: 6(v - 20) km

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

4v = 6(v - 20)

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

Calculation

Expanding the equation:

4v = 6v - 120

Rearranging the terms:

2v = 120

Dividing both sides by 2:

v = 60

Answer

The speed of the passenger train is 60 km/h.

Explanation

The passenger train takes 4 hours to travel a certain distance, while the freight train takes 6 hours to travel the same distance. This means that the passenger train is traveling at a faster speed than the freight train. Additionally, we know that the speed of the freight train is 20 km/h less than the speed of the passenger train. By solving the equation, we find that the speed of the passenger train is 60 km/h.