On a certain day, a movie theater is playing all 3 parts of a trilogy. Part 1 plays every hour, beginning at 10:00 a.m., and lasts hours. Part 2 plays every
hours, beginning at 10:00 a.m., and lasts 2 hours. Part 3 plays every
hours beginning at 12:15 p.m. What is the least total amount of time a person planning to watch all 3 parts of the trilogy in order must spend waiting between movies if all movies keep to their schedules?