A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per gallon is added to the tank at 6 gal/min, and the resulting solution leaves at the same rate. Find the quantity Q(t)\displaystyle {Q}{\left({t}\right)} of salt in the tank at time t>0\displaystyle {t}>{0}.

Q(t)=\displaystyle {Q}{\left({t}\right)}=