Question

Через одну трубу бассейн можно наполнить за 12 часов. А через другую - за 24 часа. После нескольких часов наполнения бассейна водой через обе трубы одну трубу закрыли.Остальной объем воды в бассейне наполняли 9 часов через вторую трубу. Сколько часов была открыта вторая труба???* Пожалуйста помогите решить эту задачу!!!! ЗАРАНЕЕ СПАСИБКИ=)

Answer 1

Производительность первой трубы - x,второй трубы - y. Получаем, что 12x=24y, значит: x=2y. Время работы двух труб равно t, тогда: 9*y+t*(2y+y)=24y <=> 3yt=15y <=> t=5. 5+9=14. Ответ: 14 часов была открыта вторая труба.

Answer 2

5 часов они работали вместе. 5+9=14
Ответ получится если ты разобьешь работу второго. Еще смотря что первая труба работает в два раза быстрей. Ответ правильный. Вот только я намудрил

Answer 3

Problem Analysis

We have two pipes that can fill a swimming pool in 12 hours and 24 hours, respectively. After a certain number of hours of filling the pool with water through both pipes, one of the pipes is closed. The remaining volume of water in the pool is then filled using the second pipe for 9 hours. We need to determine how many hours the second pipe was open.

Solution

Let's assume that the total volume of the swimming pool is V.

The first pipe can fill the pool in 12 hours, so in 1 hour it can fill V/12 of the pool's volume.

The second pipe can fill the pool in 24 hours, so in 1 hour it can fill V/24 of the pool's volume.

Let's say the first pipe was open for x hours before it was closed. This means that the second pipe was open for x + 9 hours to fill the remaining volume of the pool.

The amount of water filled by the first pipe in x hours is (V/12) * x.

The amount of water filled by the second pipe in x + 9 hours is (V/24) * (x + 9).

The total amount of water filled in x hours by both pipes is (V/12) * x + (V/24) * (x + 9).

Since the total volume of the pool is V, the equation becomes:

(V/12) * x + (V/24) * (x + 9) = V

Now we can solve this equation to find the value of x.

Calculation

Let's calculate the value of x.

(V/12) * x + (V/24) * (x + 9) = V

Simplifying the equation:

(V/12) * x + (V/24) * x + (V/24) * 9 = V

Multiplying through by 24 to eliminate the denominators:

2Vx + Vx + 9V = 24V

Combining like terms:

3Vx + 9V = 24V

Subtracting 9V from both sides:

3Vx = 15V

Dividing both sides by 3V:

x = 5

Therefore, the first pipe was open for 5 hours before it was closed.

Since the second pipe was open for x + 9 hours, the second pipe was open for 5 + 9 = 14 hours.

Answer

The second pipe was open for 14 hours.

Please let me know if you need any further assistance!