Question

Для заповнення басейну о 13 годині відкрили одну трубу з тим, щоб заповнити його до 16 години наступного дня. Через деякий час відкрили ще одну трубу, оскільки виникла потреба заповнити басейн раніше - до 12 години дня. О котрій годині відкрили другу.РОЗВЯЗАТИ за допомогою рівняння.

Answer 1

Вся работа -- 1

   С 13 часов до 16 часов след. дня пройдет 27 часов (24(сутки) + 3). Тогда за 1 час одна труба заполнит  $\frac{1}{27}$  часть бассейна.

   На заполнение бассейна потребовалось 23 часа. Первая труба работала 23 часа и заполнила  $\frac{23}{27}$  части басскйна, а вторая труба заполнила  $1-\frac{23}{27} = \frac{4}{27}$  части бассейна.

   Вторая труба работала 4 часа, а включили ее в 12 - 4 = 8 часов.

Answer 2

Problem Analysis

We are given the following information: - One pipe was opened at 13:00 to fill the pool until 16:00 the next day. - Another pipe was opened later to fill the pool by 12:00 PM.

We need to determine the time at which the second pipe was opened.

Solution

Let's assume that the first pipe fills the pool at a rate of x units per hour, and the second pipe fills the pool at a rate of y units per hour.

From 13:00 to 16:00 the next day, the first pipe is open for a total of 23 hours. Therefore, the amount of water filled by the first pipe is 23x units.

From the time the second pipe is opened until 12:00 PM, the second pipe is open for a total of t hours. Therefore, the amount of water filled by the second pipe is ty units.

The total amount of water needed to fill the pool is the same regardless of the pipes used. Therefore, we can set up the following equation:

23x + ty = (23 + t)y

Simplifying the equation, we get:

23x + ty = 23y + ty

Subtracting ty from both sides, we get:

23x = 23y

Dividing both sides by 23, we get:

x = y

This means that the rate at which the first pipe fills the pool is the same as the rate at which the second pipe fills the pool.

Since the rates are the same, it doesn't matter when the second pipe is opened. The second pipe could have been opened at any time before 12:00 PM, and it would still fill the pool at the same rate as the first pipe.

Therefore, we cannot determine the exact time at which the second pipe was opened using the given information.

Conclusion

Based on the given information, we cannot determine the exact time at which the second pipe was opened. The rates at which the two pipes fill the pool are the same, so the second pipe could have been opened at any time before 12:00 PM.