AMC 8 1992 Problem 19

The distance between the $5^\text{th}$ and $26^\text{th}$ exits on an interstate highway is $118$ miles. If any two consecutive exits are at least $5$ miles apart, then what is the largest number of miles there can be between two consecutive exits that are between the $5^\text{th}$ and $26^\text{th}$ exits? $\text{(A)}\ 8 \text{(B)}\ 13 \text{(C)}\ 18 \text{(D)}\ 47 \text{(E)}\ 98$