MathDB

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\qquad(B)\mbox{ }42\qquad(C)\mbox{ }43\qquad(D)\mbox{ }60\qquad(E)\mbox{ }72

Problem Statement