Question

Два автомобиля шли с одинаковой скоростью. Первый был в пути 8 часов, а второй 3 часа. Первый прошёл на 300 км больше второго. Сколько км прошёл каждый автомобиль?

Answer 1

Ответ:

180 и 480 км

Пошаговое объяснение:

Пусть второе авто  прошло S = Х км, тогда первое авто S = х +300

Первое авто прошло весь путь Х+300 за 8 часов.

Второе авто весь путь х за 3 часа.

Скорость V = S/t

Скорость первого авто V 1 = х+300/ 8

Скорость второго авто V 2 = х/ 3

V1 = V 2 по условию

Тогда

(х+300)/8 = х/3

3 (х+300) = 8 х

3х +900 = 8х

900=5 х

х =180 км - прошло первое авто, 180+300 = 480 - прошло второе авто.

Проверяем. 480 км/8 = 60 км/час - скорость первого авто.

скорость второго авто 180 км/3 = 60 км/час.

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 300 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 be calculated using the same formula: distance = speed × time

Therefore, the distance traveled by the second car is 3x km.

We are given that the first car traveled 300 km more than the second car. So we can set up the following equation: 8x = 3x + 300

Simplifying the equation, we get: 5x = 300

Solving for x, we find: x = 60

Now we can substitute the value of x back into the distance formulas to find the distances traveled by each car.

The distance traveled by the first car is: 8x = 8 × 60 = 480 km

The distance traveled by the second car is: 3x = 3 × 60 = 180 km

Therefore, the first car traveled 480 km and the second car traveled 180 km.

Answer

The first car traveled 480 km and the second car traveled 180 km.