Problem:
The five tires of a car (four road tires and a full-sized spare) were rotated so that each tire was used the same number of miles during the first miles the car traveled. For how many miles was each tire used?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The total number of miles of wear is . Since this wear is shared equally by each of the tires, each tire traveled miles.
Since each of the tires was on for of the driving, it follows that each was used miles.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions