Question

Два автомобиля двигались с одинаковой скоростью . Первый был в пути 8 ч второй -3ч . Первый проехал на 320 км больше второго. Сколько км проехал каждый автомобиль. Записать пояснения к каждому действию

Answer 1

8-3=5 часов разница во времени
320:5=64км/ч скорость автомобилей
64*8=512 км проехал первый автомобиль
64*3=192 км проехал второй автомобиль

Answer 2

Problem Analysis

We are given two cars that are traveling at the same speed. The first car has been on the road for 8 hours, while the second car has been on the road for 3 hours. The first car has traveled 320 km more than the second car. We need to determine the distance traveled by each car.

Solution

Let's assume the speed of both cars is v km/h.

The first car has been on the road for 8 hours, so the distance it has traveled is given by the formula:

Distance of the first car = Speed × Time

Distance of the first car = v × 8

The second car has been on the road for 3 hours, so the distance it has traveled is given by the formula:

Distance of the second car = Speed × Time

Distance of the second car = v × 3

We are also given that the first car has traveled 320 km more than the second car. Therefore, we can write the equation:

Distance of the first car = Distance of the second car + 320

Substituting the values from the previous equations, we get:

v × 8 = v × 3 + 320

Simplifying the equation:

8v = 3v + 320

5v = 320

v = 320 / 5

v = 64

Now that we have the value of the speed, we can substitute it back into the equations to find the distances traveled by each car:

Distance of the first car = v × 8 = 64 × 8 = 512 km

Distance of the second car = v × 3 = 64 × 3 = 192 km

Therefore, the first car has traveled 512 km and the second car has traveled 192 km.

Explanation

The problem states that two cars are traveling at the same speed. Let's assume the speed of both cars is v km/h.

The first car has been on the road for 8 hours, so the distance it has traveled is given by the formula Distance = Speed × Time. Substituting the values, we get Distance of the first car = v × 8.

Similarly, the second car has been on the road for 3 hours, so the distance it has traveled is given by the formula Distance = Speed × Time. Substituting the values, we get Distance of the second car = v × 3.

We are also given that the first car has traveled 320 km more than the second car. Therefore, we can write the equation Distance of the first car = Distance of the second car + 320.

Substituting the values from the previous equations, we get v × 8 = v × 3 + 320.

Simplifying the equation, we get 8v = 3v + 320.

By subtracting 3v from both sides of the equation, we get 5v = 320.

Dividing both sides of the equation by 5, we get v = 320 / 5 = 64.

Now that we have the value of the speed, we can substitute it back into the equations to find the distances traveled by each car.

The distance of the first car is Distance of the first car = v × 8 = 64 × 8 = 512 km.

The distance of the second car is Distance of the second car = v × 3 = 64 × 3 = 192 km.

Therefore, the first car has traveled 512 km and the second car has traveled 192 km.

Answer

The first car has traveled 512 km and the second car has traveled 192 km.