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AMC 8
2016 AMC 8
18
18
Part of
2016 AMC 8
Problems
(1)
Track Meet Math
Source: 2016 AMC 8 #18
11/23/2016
In an All-Area track meet,
216
216
216
sprinters enter a
100
ā
100-
100
ā
meter dash competition. The track has
6
6
6
lanes, so only
6
6
6
sprinters can compete at a time. At the end of each race, the five non-winners are eliminated, and the winner will compete again in a later race. How many races are needed to determine the champion sprinter?
(A)
\mbox{ }36\qquad
(B)
\mbox{ }42\qquad
(C)
\mbox{ }43\qquad
(D)
\mbox{ }60\qquad
(E)
\mbox{ }72
AMC 8
2016 AMC 8