AMC 12 2008b Problem 6

Postman Pete has a pedometer to count his steps. The pedometer records up to $99999$ steps, then flips over to $00000$ on the next step. Pete plans to determine his mileage for a year. On January $1$ Pete sets the pedometer to $00000$. During the year, the pedometer flips from $99999$ to $00000$ forty-four times. On December $31$ the pedometer reads $50000$. Pete takes $1800$ steps per mile. Which of the following is closest to the number of miles Pete walked during the year?

(Solution)

\textbf{(A)}\ 2500 \textbf{(B)}\ 3000 \textbf{(C)}\ 3500 \textbf{(D)}\ 4000 \textbf{(E)}\ 4500