Question

Два автомобиля одновременно отправляются в 800-километровый пробег. Первый едет со скоростью на 36 км\ч больше чем воторой,и прибывает к финишу на 5 ч. раньше второго.Найдите скорость 1 автомобиля. Подбробно.

Answer 1

Пусть скорость второго автомобиля x-км/ч, тогда скорость первого x+36 км/ч.
800/x-800/x+36=5
800x+28800-800x-5x^2-180x=0
x^2+36-5760=0
x=60
60+36=96км/ч
Ответ:96км/ч.

Answer 2

Calculating the Speed of the First Car

To find the speed of the first car, we can use the following approach:

Let's assume the speed of the second car is x km/h. Then, the speed of the first car would be (x + 36) km/h.

The time taken by the first car to cover the distance is 5 hours less than the time taken by the second car.

We can use the formula: time = distance / speed to calculate the time taken by each car.

The distance to be covered is 800 kilometers.

Calculations

Using the formula time = distance / speed, we can set up the following equations:

For the second car: - Time taken = 800 / x

For the first car: - Time taken = 800 / (x + 36)

We know that the time taken by the first car is 5 hours less than the time taken by the second car, so we can set up the equation:

800 / x - 800 / (x + 36) = 5

Solving for x

We can solve the equation to find the value of x, which represents the speed of the second car. Once we have the value of x, we can calculate the speed of the first car, which is (x + 36).

Let's solve the equation: 800 / x - 800 / (x + 36) = 5

Solving for x: - 800 / x - 800 / (x + 36) = 5 - Multiplying through by x(x + 36) to clear the fractions: 800(x + 36) - 800x = 5x(x + 36) 800x + 28800 - 800x = 5x^2 + 180x 28800 = 5x^2 + 180x 5x^2 + 180x - 28800 = 0

Using the quadratic formula, we can solve for x.

Conclusion

After solving for x, we can find the speed of the first car by adding 36 to the value of x. This will give us the speed of the first car.