2008 Pascal Problem 22

Ginger walks at 4 km/h and runs at 6 km/h. She saves 3\frac{3}{4} minutes by running instead of walking from her home to her school. What is the distance, in kilometres, from her home to her school?

\textbf{(A)}\ 7\frac{1}{2}\quad \textbf{(B)}\ 3\frac{3}{4}\quad \textbf{(C)}\ 1\frac{7}{8}\quad \textbf{(D)}\ 1\frac{1}{4}\quad \textbf{(E)}\ \frac{3}{4}

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 Pascal contests here.