TxO Math Bowl 2024 - Individuals A - Problem 3

Bazif can paint a room in 6 hours, Eric can paint a room in 8 hours, and Ziwen can paint a room in 12 hours. How long, in minutes, would it take the 3 of them to paint 24 rooms together, assuming each room is identical, that they do not need to rest, and that they work at a constant speed.