Ann's watch runs 2 minutes per hour too slow. Beth's watch runs 1 minute per hour too fast. For example, if both watches were correct at 12p.m on a given day, then at 1:00PM, Ann's watch would read 12:58PM and Beth's would read 1:01 PM. Ann and Beth set their watches to the correct time at noon on Sunday. The next time they met, one of the watches was one hour ahead of the other. What was the earliest time this could have been?