2018 Fermat Problem 19

Radford and Peter ran a race, during which they both ran at a constant speed. Radford began the race 30 m ahead of Peter. After 3 minutes, Peter was 18 m ahead of Radford. Peter won the race exactly 7 minutes after it began. How far from the finish line was Radford when Peter won?

\textbf{(A)}\ 16 \text{ m}\quad \textbf{(B)}\ 64 \text{ m}\quad \textbf{(C)}\ 48 \text{ m}\quad \textbf{(D)}\ 82 \text{ m}\quad \textbf{(E)}\ 84 \text{ m}

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