Question

из Павлодара до Кокшетау легковой автомобиль доезжает за 5 часов, а грузовая машина за 10 часов. найдите расстояние между Павлодаром и Кокшетау, если скорость легкового автомобиля на 12 км/ч больле скорости грузовой машины. помогите, пожалуйста, очень надо! ​

Answer 1

Ответ:

120

Пошаговое объяснение:

x - скорость легкового автомобиля, км/ч.

5x=10(x-12)                            |5

x=2x-24

x=24 км/ч - скорость легкового автомобиля.

Расстояние между Павлодаром и Кокшетау:

5·24=120 км

Answer 2

To find the distance between Pavlodar and Kokshetau, we can use the formula:

Distance = Speed × Time

Let's denote the speed of the car as "v" km/h and the speed of the truck as "v - 12" km/h. We know that the car takes 5 hours to travel the distance, and the truck takes 10 hours.

For the car: Distance = v × 5

For the truck: Distance = (v - 12) × 10

Since the distances are the same, we can equate the two equations:

v × 5 = (v - 12) × 10

Now, let's solve this equation to find the value of "v" and then calculate the distance.

Solving the equation:

Expanding the equation: 5v = 10v - 120

Bringing like terms to one side: 10v - 5v = 120

Simplifying: 5v = 120

Dividing both sides by 5: v = 24

So, the speed of the car is 24 km/h.

Calculating the distance:

Using the speed of the car, we can calculate the distance using the formula:

Distance = Speed × Time

For the car: Distance = 24 km/h × 5 hours = 120 km

Therefore, the distance between Pavlodar and Kokshetau is 120 kilometers.