Question

Автомобиль прошёл в первый час 4\9 всего пути,во второй час-3\5 оставшегося пути,а в третий час-остальной путь.Известно,что в третий час он прошёл на 40 км. меньше,чем во второй час.Сколько км.прошёл автомобиль за эти 3ч?

Answer 1

Весь путь х км...
за первый час --- 4х/9 км
осталось 5х/9
3/5 от (5х/9) --- (3/5)*(5х/9) = х/3 км ---во второй час
за первый и второй час --- (4х/9) + (х/3) = 7х/9 км
на третий час осталось 2х/9 км ---это на 40 км меньше, чем х/3 км
получили уравнение: (х/3) - (2х/9) = 40
х/9 = 40
х = 360 (км) ---весь путь за 3 часа
ПРОВЕРКА: (4/9) от 360 --- 4*360/9 = 4*40 = 160 км в первый час
осталось 360-160 = 200 км
(3/5) оставшегося пути --- 3*200/5 = 3*40 = 120 км во второй час
на третий час осталось 80 км ---это на 40 меньше, чем 120...

Answer 2

1-3/5=2/5 - части пути - прошел в 3 день
пусть путь за второй и третий час  будет х , тогда
3/5х-2/5х=40
1/5х=40
х=40:1/5
х=200 км - прошел за 2 и 3 час
теперь
1-4/9=5/9 - путь за 2 и 3 час
200:5*9=360 км - весь путь авто за три часа

Answer 3

Calculation of the Distance Traveled by the Car

To calculate the distance traveled by the car in the given scenario, we can break down the information provided into three parts:

1. In the first hour, the car traveled 4/9 of the total distance. 2. In the second hour, the car traveled 3/5 of the remaining distance. 3. In the third hour, the car traveled the remaining distance minus 40 km.

Let's calculate the distance traveled step by step:

1. In the first hour, the car traveled 4/9 of the total distance. 2. In the second hour, the car traveled 3/5 of the remaining distance. Since the car traveled 3/5 of the remaining distance in the second hour, the remaining distance after the first hour can be calculated as (1 - 4/9). 3. In the third hour, the car traveled the remaining distance minus 40 km. Since the car traveled 40 km less in the third hour compared to the second hour, we can subtract 40 km from the distance traveled in the second hour.

Let's calculate the distance traveled in each hour:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation Steps:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9 of the total distance. 2. Remaining distance after the first hour: (1 - 4/9) of the total distance. 3. Distance traveled in the second hour: 3/5 of the remaining distance after the first hour. 4. Remaining distance after the second hour: Remaining distance after the first hour minus the distance traveled in the second hour. 5. Distance traveled in the third hour: Remaining distance after the second hour minus 40 km.

Now, let's calculate the distance traveled by the car in these three hours.

Calculation:

1. Distance traveled in the first hour: 4/9