I'm sure every dc is different but the 2 I worked in were very similar in regard to naptime. All ages slept the same time, in same room/adjoining room. The under 2's were separated a bit from the olders but not by much.

The children that didn't nap were also all in one room and as children woke, they joined the large group. Near the end of naptime, they would go back to their smaller groups in separate rooms and get ready for snack.

Having a child dropped off right before or during nap was never an issue. Things like this are another reason I think some parents choose centres.

Neither one of the school aged programs had quiet time....I wish! That would have been nice lol