Question

Два автомобиля едут по шоссе навстречу друг другу. Скорость одного из них на 10 км/ч меньше скорости другого. Через 2 ч после того как они встретились расстояние стало 260 км. Найти скорости. Решите плииииииз.

Answer 1

Х        - скорость 1го авто.
х +10 - скорость 2го авто.

(х + х +10)*2 = 260
2х + 2х + 20 = 260
4х = 260 - 20
4х = 240
х = 60км/ч - скорость 1го авто.
60 +10 = 70км/ч - скорость 2го авто.

Answer 2

Problem Analysis

We have two cars traveling towards each other on a highway. The speed of one car is 10 km/h less than the speed of the other car. After they meet, the distance between them is 260 km. We need to find the speeds of both cars.

Solution

Let's assume the speed of the faster car is x km/h. Then the speed of the slower car will be x - 10 km/h.

We know that the distance traveled by both cars after they meet is 260 km. Since they meet after 2 hours, we can calculate the distance traveled by each car using the formula:

distance = speed * time

For the faster car: distance = x * 2

For the slower car: distance = (x - 10) * 2

Since the total distance traveled by both cars is 260 km, we can write the equation:

(x * 2) + ((x - 10) * 2) = 260

Simplifying the equation: 2x + 2x - 20 = 260 4x - 20 = 260 4x = 280 x = 70

Therefore, the speed of the faster car is 70 km/h and the speed of the slower car is 60 km/h.

Answer

The speed of the faster car is 70 km/h and the speed of the slower car is 60 km/h.