Question

Пассажирский и Грузовой поезда вышли одновременно навстречу друг другу из пунктов А в 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 часа после выхода.

Answer 1

1) 23,5 х 2,2 = 51,7 (км) - разница пассажирского поезда
2) 346,5 - 51,7 = 294,8 (км) - остаток расстояния
3) 294,8 : 2 = 147,4 (км) - путь грузового поезда.
4) 147,4 : 2,2 =  67 (км/ч) - скорость грузового поезда
5) 67 + 23,5 = 90,5 (км/ч) - скорость пассажирского поезда

Ответ: 67 км/ч и 90,5 км/ч

Удачи!

Answer 2

Problem Analysis

We are given that a passenger train and a freight train start simultaneously from points A and B, respectively, and travel towards each other. The distance between points A and B is 346.5 km. We are also given that the speed of the passenger train is 23.5 km/h greater than the speed of the freight train. The trains meet each other 2.2 hours after they start. 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 23.5 km/h greater, its speed will be x + 23.5 km/h.

We can use the formula distance = speed × time to solve this problem.

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 between the two points is 346.5 km, we can write the equation:

(x + 23.5) × 2.2 + x × 2.2 = 346.5

Now we can solve this equation to find the value of x.

Calculation

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 have the value of x, which represents the speed of the freight train. The speed of the passenger train is x + 23.5.

Substituting the value of x into the equation, we get:

67 + 23.5 = 90.5

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.