2009 Fermat Problem 18

On Monday, Hank drove to work at an average speed of 70 km/h and arrived 1 minute late. On Tuesday, he left at the same time and took the same route. This time he drove at an average speed of 75 km/h and arrived 1 minute early. How long is his route to work?

\textbf{(A)}\ 30 \text{ km}\quad \textbf{(B)}\ 35 \text{ km}\quad \textbf{(C)}\ 45 \text{ km}\quad \textbf{(D)}\ 50 \text{ km}\quad \textbf{(E)}\ 60 \text{ km}

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

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