
Помогите пожалуйста решить задачу по математике. Автомобиль во второй час прошёл расстояние в 1,25
раза больше чем в первый раз, а в третий час он прошёл 80 процентов расстояние, пройденного первый час. Какое расстояние автомобиль проходил за каждый час, если за 3 часа прошел 183 км?

Ответы на вопрос




Problem Analysis
We are given that a car traveled a certain distance in each of the first three hours. In the second hour, it traveled 1.25 times the distance it traveled in the first hour. In the third hour, it traveled 80% of the distance it traveled in the first hour. We need to find the distance the car traveled in each hour.Solution
Let's assume that the distance traveled in the first hour is x km.According to the problem, the distance traveled in the second hour is 1.25 times the distance traveled in the first hour. Therefore, the distance traveled in the second hour is 1.25x km.
In the third hour, the car traveled 80% of the distance traveled in the first hour. So, the distance traveled in the third hour is 80% of x km, which is 0.8x km.
We are also given that the total distance traveled in three hours is 183 km. Therefore, we can write the equation:
x + 1.25x + 0.8x = 183
Simplifying the equation:
3.05x = 183
Dividing both sides of the equation by 3.05:
x = 183 / 3.05
Calculating the value of x:
x ≈ 60
So, the distance traveled in the first hour is approximately 60 km.
Now, we can calculate the distance traveled in the second hour:
1.25x ≈ 1.25 * 60 ≈ 75 km
And the distance traveled in the third hour:
0.8x ≈ 0.8 * 60 ≈ 48 km
Therefore, the car traveled approximately 60 km in the first hour, 75 km in the second hour, and 48 km in the third hour.
Answer
The car traveled approximately 60 km in the first hour, 75 km in the second hour, and 48 km in the third hour.

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