AMC 8 1992 Problem 12

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