Question

Два поезда одновременно вышли навстречу друг другу из двух городов, расстояние между ними которыми 495 км. Через 3 ч они встретились. Какова скорость каждого поезда , если известно , что скорость одного из них на 5 км\ч больше скорости другого?

Answer 1

1) 495:3=165(км/час) скорость сближения поездов                                             2) (165-5):2=160:2=80(км/час скорость1 поезда                                                  3) 80+5=85(км/час) скорость 2 поезда                                                                Ответ: Скорость 1 поезда 80 км/час, скорость 2 поезда 85 км/час

Answer 2

Problem Analysis

We have two trains that start from two different cities and travel towards each other. The distance between the cities is 495 km. After 3 hours, the trains meet. We need to find the speed of each train, given that the speed of one train is 5 km/h greater than the speed of the other train.

Solution

Let's assume the speed of one train is x km/h. Since the speed of the other train is 5 km/h greater, its speed will be (x + 5) km/h.

To find the speed of each train, we can use the formula: speed = distance / time.

The distance covered by the first train in 3 hours is 3x km. The distance covered by the second train in 3 hours is 3(x + 5) km.

Since the total distance covered by both trains is 495 km, we can set up the equation:

3x + 3(x + 5) = 495

Simplifying the equation:

3x + 3x + 15 = 495

6x + 15 = 495

6x = 480

x = 80

Therefore, the speed of the first train is 80 km/h and the speed of the second train is 85 km/h.

Answer

The speed of the first train is 80 km/h and the speed of the second train is 85 km/h.