2016 AMC 8 Problems/Problem 18

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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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