Megan Carvolth and Michele Dorsey, flight attendants for two different airlines,
ID: 3035613 • Letter: M
Question
Megan Carvolth and Michele Dorsey, flight attendants for two different airlines, are close friends and like to get together as often as possible. Megan flies a 21 -day schedule (including days off), which then repeats, while Michele has a repeating 30-day schedule. Both of their routines include layovers in three cities. The table below shows which days of each of their individual schedules they are in these cities. If today is day 1, list the days during the next 60 days that they will be able to see each other in each of the three cities. List the days during the next 60 days on which Megan and Michele will see each other in City A. (Use a comma to separate answers as needed.) List the days during the next 60 days on which Megan and Michele will see each other in City B. (Use a comma to separate answers as needed.) List the days during the next 60 days on which Megan and Michele will see each other in City C.Explanation / Answer
The following table shows the list of days on which they will be in the listed cities for 60 days:
Common to both Airlines
From above table, we see that the days common when the will see each other in three cities in next 60 days schedule:
' = {4, 23, 26, 41, 46}
The days common when the will see each other in City A, in next 60 days schedule:
' = {23, 26}
Table: Days in City A Days in City B Days in City C Mogan 1, 2, 5, 22, 23, 26, 43, 44, 47 4, 12, 25, 33, 46, 55 6, 18, 20, 27, 39, 41, 48, 60 Michele 23, 26, 27, 53, 56, 57 4, 5, 16, 34, 35, 46 2, 11, 15, 24, 28, 32, 41, 45, 54, 58Common to both Airlines
23, 26 4, 46 41