Just hear me out for a second...
How about this scenario:
Persons 1, 2, 3, 4, 5, 6, ....... 250 go to WDW. Person 251 is positive.
Persons 1 - 200 never come within 60 feet of Person 251.
Persons 201 - 225 are never within 6 feet of Person 251 for more than 10 minutes.
Persons 226 - 250...