FERMAT 2006 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

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Answer Choices
A. 5.4
B. 5.6
C. 5.8
D. 6
E. 6.2