Question

Roxanne owns a business and assigns two of her employees their shifts. She assigns the first employee shifts in blocks of 2 hours, and she assigns the second worker shifts in blocks of 12 hours. If both workers must receive the same number of hours, what is the minimum number of hours each must be assigned?

Answer 1

Well, since they have to have the same number of hours and one of them gets shifts in blocks of 12 hours, the minimum needed would be 12 hours.

one 12-hour shift is the minimum and one 12-hour shift is the same time as six 2-hour shifts.

Roxanne will need to keep that pattern (one 12-hour shift and six 2-hour shifts) to keep the hours the same.  So she could assign 12 hours, 24 hours, 36 hours, etc.