I crossed out all the prime numbers
i need to fine the largest prime number
and this guestion
A movie theater runs two documentary films continuously. One documentary runs for 40 minutes and a second documentary runs for 60 minutes. Both movies begin at 3:00 p.m. When will the movies begin again at the same time?
1st question; There is no largest prime number. Whatever you select, there will always be a larger one
2nd question:
2 x 60 = 3 x 40 = 120
(least common multiple)
Let's look at your movie theater question.
The first film starts at 3:00, 3:40, 4:20, 5:00, 5:40, 6:20, 7:00.
What times does the second film start? When will the movies begin at the same time?
The second film starts at 3:00, 3:60, 4:20, 5:00, 5:60, 6:20, 7:00.
To find when the movies will begin at the same time, we need to find the time when the two films start simultaneously. We can do this by finding the least common multiple (LCM) of the two durations (40 minutes and 60 minutes).
The LCM of 40 and 60 is 120 minutes. So, the movies will begin at the same time again after 120 minutes, which is equal to 2 hours.
Therefore, the movies will begin again at the same time 2 hours after they started, which would be at 5:00 p.m.