Team green meets at the movie every 3 days,team yellow meets at the movie every 2 days,and team red meets at the movie every 4 days. When will all three teams meet at the movie on the same day?

Answer 1

We need to find the first day when all three teams will meet at the movie together.

We can start by listing out the days when each team will meet:

Team green: Day 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60...

Team yellow: Day 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40...

Team red: Day 4, 8, 12, 16, 20, 24, 28, 32, 36, 40...

We can see that the first time all three teams will meet together is on Day 12.

Team green meets on Day 3 and Team yellow meets on Day 6, so they will both meet on Day 6 x 2 = Day 12.

Team red meets on Day 12, so all three teams will meet on Day 12.

Therefore, all three teams will meet at the movie on the same day on Day 12.