+0  
 
0
41
3
avatar
John and Ling start their new jobs on the same day. John's schedule is 4 workdays followed by 1 day off. Ling's schedule is 7 workdays followed by 2 days off. On how many days during their first year of work (365 days) do John and Ling have the same day off?
 Aug 20, 2020
 #1
avatar
0

Since John works 4/5 days and Ling works 7/9 days, the days off they have in common is 365*1/4*2/7, which rounds to 26.

 Aug 20, 2020
 #3
avatar
0

That's not correct. Check your reasoning; why does John work 4/5 days?

Guest Aug 20, 2020
 #2
avatar
0

John's day off is every 5th day.
Ling's day off is every 8th and 9th day.
LCM(5, 8) =40 and 365/40 =~ 9 times per year
LCM(5, 9) =45 and 365/45 =~ 8 times per year.
9 + 8 =~17 times per year. 

 Aug 20, 2020

18 Online Users