2021 Pascal Problem 17

Trains arrive at Pascal Station every x minutes, where x is a positive integer. Trains arrive at Pascal Station at many different times, including at 10:10 a.m., 10:55 a.m., and 11:58 a.m. Which of the following is a possible value of x?

\textbf{(A)}\ 9\quad \textbf{(B)}\ 7\quad \textbf{(C)}\ 10\quad \textbf{(D)}\ 5\quad \textbf{(E)}\ 11

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.