2001 Gauss 7 Problem 23

Catrina runs 100 m in 10 seconds. Sedra runs 400 m in 44 seconds. Maintaining these constant speeds, they participate in a 1 km race. How far ahead, to the nearest metre, is the winner as she crosses the finish line?

\textbf{(A)}\ 100 \text{ m}\quad \textbf{(B)}\ 110 \text{ m}\quad \textbf{(C)}\ 95 \text{ m}\quad \textbf{(D)}\ 90 \text{ m}\quad \textbf{(E)}\ 91 \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 Gauss contests here.