Question

Пассажирский и грузовой поезд вышел одновремено навстречу друг друга из пункта А и В, расстояние между которыми 346,5 км. Найдите скорость каждого поезда , если известно , что скорость пассажирского поезда на 23,5 км/ч больше скорости грузового поезда и встретились они через 2,2 ч после выхода

Answer 1

346,5:2,2=157,5 км/ч  скорость сближения поездов
(157,5-23,5):2= 67 км/ч  скорость грузового поезда
67+23,5= 90,5 км/ч скорость пассажирского поезда

Answer 2

Problem Analysis

We are given that a passenger train and a freight train start simultaneously from points A and B, respectively. The distance between points A and B is 346.5 km. We need to find the speed of each train given that the passenger train is 23.5 km/h faster than the freight train, and they meet 2.2 hours after starting.

Solution

Let's assume the speed of the freight train is x km/h. Then, the speed of the passenger train is x + 23.5 km/h.

We can use the formula speed = distance / time to find the speeds of the trains.

The passenger train travels for 2.2 hours, so the distance it covers is (x + 23.5) * 2.2 km.

The freight train also travels for 2.2 hours, so the distance it covers is x * 2.2 km.

Since the total distance covered by both trains is equal to the distance between points A and B (346.5 km), we can set up the following equation:

(x + 23.5) * 2.2 + x * 2.2 = 346.5

Now, we can solve this equation to find the value of x and then calculate the speeds of both trains.

Let's solve the equation:

(x + 23.5) * 2.2 + x * 2.2 = 346.5

Expanding the equation:

2.2x + 51.7 + 2.2x = 346.5

Combining like terms:

4.4x + 51.7 = 346.5

Subtracting 51.7 from both sides:

4.4x = 294.8

Dividing both sides by 4.4:

x = 67

Now we can calculate the speeds of both trains:

The speed of the freight train is 67 km/h.

The speed of the passenger train is 67 + 23.5 = 90.5 km/h.

Therefore, the speed of the freight train is 67 km/h and the speed of the passenger train is 90.5 km/h.

Answer

The speed of the freight train is 67 km/h and the speed of the passenger train is 90.5 km/h.