2007 Pascal Problem 20

In the diagram, rectangle ABCD is divided into two regions, AEFCD and EBCF, of equal area. If EB = 40, AD = 80 and EF = 30, what is the length of AE?

\textbf{(A)}\ 20\quad \textbf{(B)}\ 24\quad \textbf{(C)}\ 10\quad \textbf{(D)}\ 15\quad \textbf{(E)}\ 30

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