Person 1 has to get up at 6am every week day.
Person 2 gets up at 9am every week day.
Neither can go to bed particularly early - both go at around 11. (Person 1 has work to do and person 2 doesn't need any more sleep).
At the weekend, neither has to get up until 9am.
Person 1 would like to get up a little later than this on a Sunday, say 10am. So would person 2.
Is it more fair for them to take turns, to allow Person 1 or allow Person 2?