Question

Два поезда двигались в противоположных направлениях.после их встречи прошел 1 час,в течении которого первый поезд двигался с постоянной скоростью 80км/ч ,а второй 70км/ч.на каком расстоянии друг от друга находятся эти поезда? с какой скоростью увеличивается расстояние между ними?

Answer 1

1) 80+70=150(км/ч) скорость удаления 
2) 150 * 1= 150(км)\
Ответ через 1 час они удалились на 150 км 
                    150км/ч скорость удаления

Answer 2

Problem Analysis

We have two trains moving in opposite directions. After their meeting, the first train continues to move at a constant speed of 80 km/h, while the second train continues to move at a constant speed of 70 km/h. We need to determine the initial distance between the trains and the rate at which the distance between them is increasing.

Solution

To solve this problem, we can use the formula: distance = speed × time.

Let's assume that the initial distance between the two trains is D km.

After 1 hour, the first train has traveled a distance of 80 km (80 km/h × 1 h) and the second train has traveled a distance of 70 km (70 km/h × 1 h).

At this point, the total distance covered by both trains is equal to the initial distance between them plus the distances traveled by each train. Therefore, we can write the equation:

D + 80 + 70 = D + 150

Simplifying the equation, we find that the initial distance between the trains is 150 km.

Now, let's calculate the rate at which the distance between the trains is increasing. Since the first train is moving at a speed of 80 km/h and the second train is moving at a speed of 70 km/h, the relative speed between the two trains is the sum of their speeds, which is 150 km/h.

Therefore, the distance between the trains is increasing at a rate of 150 km/h.

Answer

The initial distance between the two trains is 150 km. The distance between the trains is increasing at a rate of 150 km/h.