Question

Два автомобиля ехали с одинаковой скоростью. Первый был в пути 8 ч, а второй-3ч. Первый проехал на 320 км больше,чем второй. Сколько км проехал каждый автомобиль?

Answer 1

S=V*t

t1=8, t2=3

S1=8V, S2=3V

S2=S1-320

Система:

{S1=8V
{S1-320=3V

S1=8V
S1=3V+320

Метод вычитания:

0= 5V-320

5V=320

V=320/5=64

S2=3*64=192 км проехал 2-ой

S1=192+320=512 км проехал 1-ый

Answer 2

Problem Analysis

We are given two cars that are traveling at the same speed. The first car takes 8 hours to reach its destination, while the second car takes 3 hours. The first car travels 320 km more than the second car. We need to determine the distance traveled by each car.

Solution

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

The distance traveled by the first car can be calculated using the formula distance = speed × time. Therefore, the distance traveled by the first car is 8x km.

The distance traveled by the second car can also be calculated using the same formula. Therefore, the distance traveled by the second car is 3x km.

According to the problem, the first car traveled 320 km more than the second car. Therefore, we can set up the equation 8x = 3x + 320 to solve for the value of x.

Simplifying the equation, we have 8x - 3x = 320.

Solving for x, we get 5x = 320.

Dividing both sides of the equation by 5, we find that x = 64.

Now that we know the value of x, we can calculate the distance traveled by each car.

The first car traveled 8x = 8 × 64 = 512 km.

The second car traveled 3x = 3 × 64 = 192 km.

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

Answer

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