Question

Помогите. Две машины едут с одинаковой скоростью.Одна машина была в пути 8часов,а другая 12 часов.Первая проехала на 360км меньше второй.Сколько километров проехала каждая машина?

Answer 1

V=(S1-S2)/(t1-t2)=360/(12-8)=90 км/ч - скорость каждого автомобиля
S1=V*t1=90*12=1080 км проехал первый автомобиль
S2=V*t2=90*8=720 км проехал второй автомобиль

Answer 2

x (км) - проехала первая машина.

x + 360 (км) - проехала вторая машина

Скорость V1 первой машины равна скорости V2 второй (V1=V2), из этого следует равенство -> x/8 = (x+360)/12

12x = 8 * (x + 360)

12x = 8x + 2880

4x = 2880

x = 720 - проехала первая машина

Путь второй машины = 720 + 360 = 1080

Ответ: x1 = 720, x2 = 1080

Answer 3

Calculating the Distance Traveled by Each Car

To solve this problem, we can use the formula: distance = speed * time. Given that both cars are traveling at the same speed, we can use this formula to calculate the distance each car has traveled.

Let's denote: - D1 as the distance traveled by the first car - D2 as the distance traveled by the second car - T1 as the time taken by the first car (8 hours) - T2 as the time taken by the second car (12 hours)

Using the formula, we can set up the following equations: 1. D1 = speed * T1 2. D2 = speed * T2

We are also given that the first car traveled 360 km less than the second car. This gives us another equation: 3. D1 = D2 - 360

We can use these equations to solve for the distances traveled by each car.

Calculations

Using the given information and the equations above, we can solve for the distances traveled by each car:

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Solution

Using the equations mentioned earlier, we can solve for the distances traveled by each car:

From equation 1: D1 = speed * T1 From equation 2: D2 = speed * T2 From equation 3: D1 = D2 - 360

Since both cars are traveling at the same speed, we can equate the two distance equations: speed * 8 = speed * 12 - 360

Solving for speed: 8s = 12s - 360 360 = 4s s = 90 km/h

Now that we have the speed, we can calculate the distances: D1 = 90 * 8 = 720 km D2 = 90 * 12 = 1080 km

So, the first car traveled 720 kilometers and the second car traveled 1080 kilometers.