2001 Gauss 8 Problem 10

Rowena is able to mow \frac{2}{5} of a lawn in 18 minutes. If she began the job at 10:00 a.m., and mowed at this same constant rate, when did she finish mowing the entire lawn?

\textbf{(A)}\ 10:08 a.m.\quad \textbf{(B)}\ 11:30 a.m.\quad \textbf{(C)}\ 10:40 a.m.\quad \textbf{(D)}\ 10:25 a.m.\quad \textbf{(E)}\ 10:45 a.m.

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.