Question

РЕШИТЕ ЗАДАЧУ С ПОМОЩЬЮ СИСТЕМЫ УРАВНЕНИЙ. Расстояние между городами A и В 490км. Из города А в город В выехал первый автомобилист со скоростью 55 км/ч, на встречу ему через у час из города В выехал второй автомобилист со скоростью 90 км/ч. На каком расстоянии от города А автомобилисты встретятся?​​

Answer 1

Ответ: s=185,862-34,138*y

Объяснение:

Answer 2

Problem Analysis

To solve this problem, we can use the concept of relative speed. We'll calculate the time it takes for the two cars to meet and then use that time to find the distance from city A where they meet.

Solution

Let's assume that the two cars meet at a distance x km from city A.

The first car is traveling at a speed of 55 km/h, and it starts one hour before the second car. So, by the time the second car starts, the first car has already traveled 55 km.

Now, let's calculate the time it takes for the two cars to meet. The time taken by the first car to cover the remaining distance (490 - 55) km is given by:

Time taken by the first car = (490 - 55) km / 55 km/h

Similarly, the time taken by the second car to cover the distance x km is given by:

Time taken by the second car = x km / 90 km/h

Since both cars start at the same time, these two times are equal. Therefore, we can set up the following equation:

(490 - 55) / 55 = x / 90

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

Calculation

Simplifying the equation:

(490 - 55) / 55 = x / 90

Dividing both sides by 55:

435 / 55 = x / 90

Cross-multiplying:

435 * 90 = 55 * x

Simplifying:

39150 = 55x

Dividing both sides by 55:

x = 39150 / 55

Calculating:

x = 710 km

Answer

Therefore, the two cars will meet at a distance of 710 km from city A.