Final answer:
The longest interval between two rest days in a standard week is typically six working days, assuming a seven-day week with one rest day per week.
Step-by-step explanation:
The question you are asking appears to involve making a schedule or understanding sequences and intervals. The longest possible interval between two rest days depends upon the context.
If we are discussing a seven-day week and assuming that a rest day occurs once a week, typically like a weekend day, then the longest interval between two rest days would be six working days. This assumes the workweek starts the day after a rest day and ends the day before the next rest day.
If the context is different and there is no specified pattern to when rest days occur, then theoretically, there is no maximum interval, as rest days could be spaced out as far as the scheduling permits.
In a case with no limitations whatsoever, a person could have an indefinite number of workdays between rest days. However, labor laws and health recommendations would advise against such extreme intervals without rest.