2012 Fermat Problem 20

Katie and Sarah run at different but constant speeds. They ran two races on a track that measured 100 m from start to finish. In the first race, when Katie crossed the finish line, Sarah was 5 m behind. In the second race, Katie started 5 m behind the original start line and they ran at the same speeds as in the first race. What was the outcome of the second race?

\textbf{(A)} Katie and Sarah crossed the finish line at the same time. \textbf{(B)}\ When Katie crossed the finish line, Sarah was 0.25\ \text{m} behind.\quad \textbf{(C)}\ When Katie crossed the finish line, Sarah was 0.26\ \text{m} behind.\quad \textbf{(D)}\ When Sarah crossed the finish line, Katie was 0.25\ \text{m} behind.\quad \textbf{(E)}\ When Sarah crossed the finish line, Katie was 0.26\ \text{m} behind.

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