The principle, Mr. DeMorgan decided that some of the classrooms in the building needed to be painted. On Monday two janitors, Mr. Presto and Mr. Trickle painted the first classroom together. They finished the job in five hours. On Tuesday and Wednesday Mr. Presto painted in Mrs. Hamilton's room, he finished the job after nine hours. Meanwhile, Mr. Trickle worked in Mrs. Cayley's room. If all rooms are the same size, and both men worked at the same rate on all days; how long did it take Mr. Trickle to finish Mrs. Caley's room.

Bonus: The mathematicians DeMorgan, Hamilton, and Caley shared a common interest in what field of mathematics?

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