Question

Бак объёмом 5400л заполняется водой из лвух труб. Из первой трубы за минуту вливается 8 л из второй 6 л воды.Через сток из бака за минуту вытекает 5л воды. За какое времязаполнится бак если открыты обе трубы

Answer 1

1)(6+8)-5=9(л) наполняется бак в минуту
2)5400:9=600(мин)
Ответ: 600 минут или 10 часов наполнится бак, если открыть две трубы и сток.

Answer 2

Problem Analysis

We have a tank with a volume of 5400 liters that is being filled with water from two pipes. The first pipe fills 8 liters per minute, and the second pipe fills 6 liters per minute. At the same time, water is being drained from the tank at a rate of 5 liters per minute. We need to determine how long it will take to fill the tank when both pipes are open.

Solution

To solve this problem, we need to calculate the net inflow rate of water into the tank when both pipes are open. We can then divide the tank's volume by the net inflow rate to find the time it takes to fill the tank.

Let's calculate the net inflow rate:

- The first pipe fills 8 liters per minute. - The second pipe fills 6 liters per minute. - The drain removes 5 liters per minute.

Therefore, the net inflow rate is (8 + 6) - 5 = 9 liters per minute.

Now, we can calculate the time it takes to fill the tank:

- Tank volume: 5400 liters - Net inflow rate: 9 liters per minute

Dividing the tank volume by the net inflow rate gives us the time it takes to fill the tank:

Time to fill the tank = Tank volume / Net inflow rate = 5400 liters / 9 liters per minute = 600 minutes

Therefore, it will take 600 minutes to fill the tank when both pipes are open.

Answer

When both pipes are open, it will take 600 minutes to fill the tank with a volume of 5400 liters.