AMC 10 2017a Problem 4

Mia is "helping" her mom pick up $30$ toys that are strewn on the floor. Mia's mom manages to put $3$ toys into the toy box every $30$ seconds, but each time immediately after those $30$ seconds have elapsed, Mia takes $2$ toys out of the box. How much time, in minutes, will it take Mia and her mom to put all $30$ toys into the box for the first time? $\textbf{(A)}\ 13.5 \textbf{(B)}\ 14 \textbf{(C)}\ 14.5 \textbf{(D)}\ 15 \textbf{(E)}\ 15.5$