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A tank contains 360 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of

`6(L)/(m)in`

; the well-mixed solution is pumped out at the same rate. Let the

`A(t)`

be the number of grams of salt in the tank at time

`t`

. Find the rate at which the number of grams of salt in the tank is changing at time

`t`

.

`(dA)/(dt)=`

Find the number

`A(t)`

of grams of salt in the tank at time

`t`

.

`A(t)=`