The pros to 7 day school would be to have the students on a staggered schedule...that is, 1 week on and next week off or 14 days on and 1 week off.
Another variation is a 7 day schedule for a course and a week off then another 7 day schedule for another course. This may work better for older students.
The cons would be complete exhaustion on the part of teachers and students
No student child or adult could study 7 days a week, every week