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2016 AMC 8 Problems/Problem 18

Revision as of 10:03, 23 November 2016 by GeronimoStilton (talk | contribs) (Created page with "18. In an All-Area track meet, <math>216</math> sprinters enter a <math>100-</math>meter dash competition. The track has <math>6</math> lanes, so only <math>6</math> sprinters...")
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18. In an All-Area track meet, $216$ sprinters enter a $100-$meter dash competition. The track has $6$ lanes, so only $6$ 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?


$(A)\mbox{ }36\mbox{ }(B)\mbox{ }42\mbox{ }(C)\mbox{ }43\mbox{ }(D)\mbox{ }60\mbox{ }(E)\mbox{ }72\mbox{ }$

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