2015 Fermat Problem 10

Anca and Bruce left Mathville at the same time. They drove along a straight highway towards Staton. Bruce drove at 50 km/h. Anca drove at 60 km/h, but stopped along the way to rest. They both arrived at Staton at the same time. For how long did Anca stop to rest?

\textbf{(A)}\ 40\ \text{minutes}\quad \textbf{(B)}\ 10\ \text{minutes}\quad \textbf{(C)}\ 67\ \text{minutes}\quad \textbf{(D)}\ 33\ \text{minutes}\quad \textbf{(E)}\ 27\ \text{minutes}

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