Question

В пустой бак вместимостью 5600 л заканчивают воду посредством двух труб со скоростью 6 л в минуту и 5 лет в минуту соответственно и выкачивать посредством одной трубы со скоростью 3 л в минуту .За сколько минут заполнится бак ,если все трубы будут работать одновременно?

Answer 1

1)6+5+3=8 л - в минуту закачивают воды
2) 5600:8=700 м
Ответ: 700 минут

Answer 2

Problem Analysis

We are given a tank with a capacity of 5600 liters that is being filled with water through two pipes and emptied through one pipe. The first pipe fills the tank at a rate of 6 liters per minute, the second pipe fills the tank at a rate of 5 liters per minute, and the third pipe empties the tank at a rate of 3 liters per minute. We need to determine how long it will take to fill the tank when all three pipes are working simultaneously.

Solution

To solve this problem, we can calculate the net flow rate into the tank by subtracting the rate of water being emptied from the combined rate of water being filled. Then, we can divide the tank's capacity by the net flow rate to find the time it takes to fill the tank.

Let's calculate the net flow rate first: - The first pipe fills the tank at a rate of 6 liters per minute. - The second pipe fills the tank at a rate of 5 liters per minute. - The third pipe empties the tank at a rate of 3 liters per minute.

The net flow rate is the sum of the filling rates minus the emptying rate: Net flow rate = (6 liters/minute + 5 liters/minute) - 3 liters/minute

Now, let's calculate the time it takes to fill the tank: Time = Tank capacity / Net flow rate

Substituting the given values: Tank capacity = 5600 liters Net flow rate = (6 liters/minute + 5 liters/minute) - 3 liters/minute

Let's calculate the net flow rate and the time it takes to fill the tank.

Calculation

Net flow rate = (6 liters/minute + 5 liters/minute) - 3 liters/minute = 8 liters/minute

Time = 5600 liters / 8 liters/minute

Time = 700 minutes

Answer

It will take 700 minutes to fill the tank when all three pipes are working simultaneously.

Please note that the calculations provided are based on the given information and assumptions.