2008 Pascal Problem 10

On the number line, S is three-quarters of the way from P to Q. Also, T is one-third of the way from P to Q. What is the distance along the number line from T to S?

\textbf{(A)}\ 20\quad \textbf{(B)}\ 15\quad \textbf{(C)}\ 6\quad \textbf{(D)}\ 25\quad \textbf{(E)}\ 31

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