Question

Автомобиль за 4 часа прошел 180 км. В первый час он прошел 4/15 всего пути, во второй 5/8 того, что прошел в первый час, в третий - вдвое меньше пройденного за первые два часа вместе, а в четвертый - остальной путь. Сколько километров прошел автомобиль за четвертый час?

Answer 1

За первый час он прошел 16/60 пети
за второй 10/60
за третий 38/60
Значит за четвёртый 22/60
И значит 180/60*22=66

Answer 2

1) 180:15*4=48 (км) за первый час
2) 48:8*5=30 (км) за второй час
3) 48+30=78 (км) за 2 часа вместе
4) 78:2=39 (км) за третий час
5) 180-(48+30+39)=63 (км) за четвертый час

Answer 3

Calculation of Distance Traveled in the Fourth Hour

To calculate the distance traveled by the car in the fourth hour, we need to analyze the information provided.

According to the given information: - In the first hour, the car traveled 4/15 of the total distance. - In the second hour, the car traveled 5/8 of what it traveled in the first hour. - In the third hour, the car traveled half of what it traveled in the first two hours combined. - In the fourth hour, the car traveled the remaining distance.

Let's calculate the distance traveled in each hour step by step:

1. Distance traveled in the first hour: - The car traveled 4/15 of the total distance. - Let's assume the total distance is D km. - Therefore, the distance traveled in the first hour is (4/15) * D km.

2. Distance traveled in the second hour: - The car traveled 5/8 of what it traveled in the first hour. - Therefore, the distance traveled in the second hour is (5/8) * (4/15) * D km.

3. Distance traveled in the third hour: - The car traveled half of what it traveled in the first two hours combined. - Therefore, the distance traveled in the third hour is (1/2) * [(4/15) * D + (5/8) * (4/15) * D] km.

4. Distance traveled in the fourth hour: - The car traveled the remaining distance. - The remaining distance can be calculated by subtracting the distances traveled in the first three hours from the total distance. - Therefore, the distance traveled in the fourth hour is D - [(4/15) * D + (5/8) * (4/15) * D + (1/2) * [(4/15) * D + (5/8) * (4/15) * D]] km.

Let's simplify the equation to find the distance traveled in the fourth hour.