1992 AJHSME Problems/Problem 12

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 $30,000$ miles the car traveled. For how many miles was each tire used?

$\text{(A)}\ 6000 \qquad \text{(B)}\ 7500 \qquad \text{(C)}\ 24,000 \qquad \text{(D)}\ 30,000 \qquad \text{(E)}\ 37,500$

Solution

In the $30,000$ miles, four tires were always used at one time, so the total amount of mile the five tires were used in total is $30,000 \times 4=120,000$ . Five tires were used and each was used equally, so each tire was used for $\frac{120,000}{5}=\boxed{\text{(C)}\ 24,000}$ .

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1992 AJHSME Problems/Problem 12

Problem

Solution