Due May 2

This problem is solved by careful thought or massive calculation (your choice). We consider this to be a hard problem, worth 20 points. Send answers and questions to mathstat@uoguelph.ca

Juan and Margret start 20 kilometers apart on a road riding their bicycles toward one another. Juan goes 8 kilometers per hour while Margret goes 12. Juan's well-trained pigeon starts when Juan does and flies back and forth from Juan to Margret and then from Margret to Juan at 30 kilometers per hour. The pigeon turns on a dime whenever it reaches one of the two riders and heads back toward the other. Juan and Margret stop when they meet and Juan gives the Pigeon a treat. How far has the pigeon flown?

Send your answer to mathstat@uoguelph.ca

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