Question

Из двух городов, расстояние между которыми 600 км, вышли одновременно два автомобиля и встретились через 4 часа. Скорость одного была на 10 км/ч больше скорости другого. С какой скоростью шёл каждый автомобиль?

Answer 1

Пусть скорость одного автомобиля равна X, тогда скорость другого - X +10. Составим уравнение:
4*X + 4*(X+10) = 600
4*(2X+10)=600
2X+10=150
2X=140
X=70
X+10=80

Ответ: 70 км/ч и 80 км/ч

Answer 2

Problem Analysis

We have two cars that start from two different cities and meet after 4 hours. The distance between the cities is 600 km, and one car is traveling 10 km/h faster than the other. We need to find the speed of each car.

Solution

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

We can use the formula speed = distance / time to find the speeds of the cars.

For the slower car: - Speed = x km/h - Distance = 600 km - Time = 4 hours

Using the formula, we can write the equation: x = 600 / 4 For the faster car: - Speed = x + 10 km/h - Distance = 600 km - Time = 4 hours

Using the formula, we can write the equation: x + 10 = 600 / 4 Simplifying the equations, we get: x = 150 km/h x + 10 = 160 km/h

Therefore, the slower car was traveling at a speed of 150 km/h and the faster car was traveling at a speed of 160 km/h.

Answer

The slower car was traveling at a speed of 150 km/h and the faster car was traveling at a speed of 160 km/h.