Question

Из пунктов С и К одновременно навстречу друг другу выехали автомобили со скоростями 85 км/ч и 90 км/ч соответственно. Через 2 часа автомобиль из пункта С остановился из-за поломки, а другой автомобиль продолжал движение и достиг места поломки автомобиля из пункта С через 3 часа после его остановки. На каком расстоянии друг от друга расположены пункты С и К?

Answer 1

1  авто ехал со скоростью 85, время - 2 ч => расстояние 170 км
2 ато ехал со скоростью 90, время - 5 ч => расстояние 450 км
170+450=620

Answer 2

Problem Analysis

We are given two cars that start simultaneously from points C and K with speeds of 85 km/h and 90 km/h, respectively. After 2 hours, the car from point C stops due to a breakdown, while the other car continues and reaches the location of the breakdown 3 hours after the car from point C stops. We need to find the distance between points C and K.

Solution

Let's denote the distance between points C and K as d.

We know that the car from point C traveled for 2 hours before stopping, and the car from point K traveled for 3 hours after the car from point C stopped. We can use the formula distance = speed × time to calculate the distances traveled by each car.

The distance traveled by the car from point C is given by 85 km/h × 2 h = 170 km.

The distance traveled by the car from point K is given by 90 km/h × 3 h = 270 km.

Since the car from point K reached the location of the breakdown, the total distance traveled by both cars is equal to the distance between points C and K. Therefore, we can write the equation 170 km + 270 km = d.

Simplifying the equation, we find that d = 440 km.

Answer

The points C and K are located at a distance of 440 km from each other.

Explanation

The car from point C traveled for 2 hours at a speed of 85 km/h, covering a distance of 170 km. The car from point K continued traveling for 3 more hours at a speed of 90 km/h, covering a distance of 270 km. The total distance between points C and K is the sum of these distances, which is 440 km.