Anne began her commute home by driving at a constant rate of $30$ mph for $15$ minutes. She then got on the freeway where she drove at a constant rate of $60$ mph for $30$ minutes. She exited the freeway and immediately had to stop and wait for $15$ minutes due to road construction. She then completed her drive home by driving at $30$ mph for $15$ minutes. Her total commute time was one hour fifteen minutes. What was the distance of Anne’s commute? What was her average speed?