Home /
Expert Answers /
Advanced Math /
two-tanks-each-holding-40-l-of-liquid-are-interconnected-by-pipes-with-liquid-flowing-from-tank-a-pa950

Two tanks, each holding 40 L of liquid, are interconnected by pipes with liquid flowing from tank A into tank B at a rate of

`12(L)/()`

min and from tank

`B`

into tank A at

`3(L)/()`

min, as shown in the figure. The liquid inside each tank is kept well stirred. Pure water flows into tank A at a rate of

`9(L)/(m)in`

, and the solution flows out of tank B at

`9(L)/(m)in`

. If, initially, tank A contains 2.3 kg of salt and tank B contains no salt (only water), determine the mass of salt in each tank at time

`t>=0`

. Graph on the same axes the two quantities

`x_(1)(t)`

and

`x_(2)(t)`

, where

`x_(1)(t)`

is the mass of salt in tank

`A`

and

`x_(2)(t)`

is the mass in tank

`B`

. Click the icon to view the figure of the tanks. What are the equations for the mass of salt in each tank at time

`t>=0`

?

```
x_(1)(t)=
x_(2)(t)=
```