Question

ПОМОГИТЕ БУДУ СИЛЬНО РАД. Одну и ту же расстояние один автомобиль проезжает за 3 часа, а другой - за 2 часа. Найти скорость движения каждого автомобиля, если скорость одного из них на 24км / годбильша, чем скорость другого.

Answer 1

Пусть х км/ч - скорость одного, тогда (х+24) км/ч - скорость второго

3х = 2(х+24)
3х = 2х + 48
3х - 2х = 48
х = 48 (км/ч) - скорость одного

48 + 24 = 72 (км/ч) - скорость второго.

Answer 2

Problem Analysis

We are given that two cars travel the same distance, with one car taking 3 hours and the other car taking 2 hours. We need to find the speed of each car, given that the speed of one car is 24 km/h less than the speed of the other car.

Solution

Let's assume the speed of the slower car is x km/h. Since the speed of the other car is 24 km/h more, the speed of the faster car is x + 24 km/h.

We know that distance = speed × time. Since both cars travel the same distance, we can set up the following equations:

For the slower car: distance = speed × time distance = x km/h × 3 hours distance = 3x km

For the faster car: distance = speed × time distance = (x + 24) km/h × 2 hours distance = 2(x + 24) km distance = 2x + 48 km

Since both cars travel the same distance, we can equate the two expressions for distance:

3x = 2x + 48

Simplifying the equation:

3x - 2x = 48 x = 48

So, the speed of the slower car is 48 km/h, and the speed of the faster car is 48 + 24 = 72 km/h.

Answer

The speed of the slower car is 48 km/h, and the speed of the faster car is 72 km/h.