Academic Decathlon 2004 Logic Quiz

Pass the Baton  (400 points)

In a relay race the first runner of the team hands on the baton after having raced half the distance plus 1/2 mile.  The second runner runs 1/3 of the remaining distance plus 1/3 mile.  The third runner reaches the goal after having raced 1/4 of the remaining distance plus 1/4 mile.  How long was the course?

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