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 километров проехал каждый автомобиль.

Answer 1

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 kilometers more than the second car. We need to find the distance traveled by each car.

Solution

Let's assume the distance traveled by the second car is x kilometers. Since the first car travels 320 kilometers more than the second car, the distance traveled by the first car is x + 320 kilometers.

We know that the speed of both cars is the same. Speed is defined as distance divided by time. Since the speed is the same for both cars, we can set up the following equation:

Speed of first car = Speed of second car

Using the formula for speed, we have:

(x + 320) / 8 = x / 3

To solve this equation, we can cross-multiply and solve for x.

Calculation

Let's solve the equation to find the distance traveled by each car.

(x + 320) / 8 = x / 3

Cross-multiplying:

3(x + 320) = 8x

Expanding and simplifying:

3x + 960 = 8x

960 = 8x - 3x

960 = 5x

Dividing both sides by 5:

x = 960 / 5

x = 192

Therefore, the second car traveled 192 kilometers, and the first car traveled 192 + 320 = 512 kilometers.

Answer

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