2025 Fermat Problem 18

In a 2000 m race, Arturo, Morgan and Henri run at constant but different speeds. Arturo finishes 200 m ahead of Morgan and 290 m ahead of Henri. If Morgan and Henri each continue at their same speeds, how far ahead of Henri will Morgan finish?

\textbf{(A)}\ 90 \text{ m}\quad \textbf{(B)}\ 100 \text{ m}\quad \textbf{(C)}\ 110 \text{ m}\quad \textbf{(D)}\ 120 \text{ m}\quad \textbf{(E)}\ 130 \text{ m}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Fermat contests here.