CEMC Fermat, 2006

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

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

(A) $5.4$ (B) $5.6$ (C) $5.8$ (D) $6.0$ (E) $6.2$

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