Joe Salvo, a nurse, works 5 days and then has a day off. Joe's friend works 7 days and then has a day off. How many days after Joe and his friend have a day off together will they have another day off together?
A) 34 days
B) 34.0 days
C) 16 days
D) 24 days
E) 20 days

Question

Quizplus · Accepted Answer

Joe has a day off every 6 days (5 days of work + 1 day off), and his friend has a day off every 8 days (7 days of work + 1 day off). To find when they both have a day off together again, we need to find the least common multiple (LCM) of 6 and 8, which is 24. Therefore, they will both have a day off together again in 24 days.

Joe Salvo, a Nurse, Works 5 Days and Then Has