2006 Fermat Problem 23

Rectangle TEHF has dimensions 15 m by 30 m, as shown. Tom the Cat begins at T, and Jerry the Mouse begins at J, the midpoint of TE. Jerry runs at 3 m/s in a straight line towards H. Tom starts at the same time as Jerry, and, running at 5 m/s in a straight line, arrives at point C at the same time as Jerry. The time, in seconds, that it takes Tom to catch Jerry is closest to

\textbf{(A)}\ 5.4\quad \textbf{(B)}\ 5.6\quad \textbf{(C)}\ 5.8\quad \textbf{(D)}\ 6.0\quad \textbf{(E)}\ 6.2

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

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