Two movie theaters, UAI and UAII, start their movies at 7:00 P.M. The movie at UAI takes 75 minutes and the movie at UAII takes 90 minutes. If the shows run continuously, when will they again start at the same time?

Question

Quizplus · Accepted Answer

To find when the movies will start at the same time again, we need to find the least common multiple (LCM) of their lengths in minutes. The LCM of 75 and 90 minutes is 450 minutes. Since there are 60 minutes in an hour, 450 minutes is equal to 7.5 hours. If the movies start at 7:00 P.M., adding 7.5 hours brings us to 2:30 A.M.

Two Movie Theaters, UAI and UAII, Start Their Movies at 7:00