in a all-area track meet 271 sprinters enter a 200-meter dash competition. the track has 7 lanes so only 7 sprinters can compete at a time. at the end of each race, the six non-winners are eliminated, and the winner will compete again in later race. How many races are needed to determine the champion sprinter?

Respuesta :

The number of races needed to determine the champion sprinter = 39 races.

Calculation of number of races

The number of sprinters = 271

The number of sprinters per race= 7

The area to be covered for each race = 200m

For every race covered, a champion is selected and the rest is eliminated.

Therefore, to determine the remaining champion from 271 sprinters,

271/ 7 = 38.7

Which is approximately 39 races.

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