2016 AMC 8 Problem 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?

\textbf{(A)}\ 36\qquad\textbf{(B)}\ 42\qquad\textbf{(C)}\ 43\qquad\textbf{(D)}\ 60\qquad\textbf{(E)}\ 72

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.