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?
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