answersLogoWhite

0

IF THE NUMBER OF 'WEEKS' in a month is determined by how many weekly pay days fall in a particular month, then, in a leap year, and subject to a maximum of 5, each month has the potential of being a '5 week' month.

In non-leap-years, and again subject subject to a maximum of five, each month except February has the potential of being a 5 week month,

BUT IF A WEEK is defined as a 'working week', and the 'working week' is a period of five consecutive days followed by two rest days, there are no months which have or can have five working weeks.

This can be proven as follows:

  1. A working week has 5 days.
  2. Five working weeks is 25 days (5 x 5).
  3. The working weeks are separated from each other by 2 'non-work' days.
  4. Between five working weeks there are 4 periods of 2 'non-work' days, i.e. 8 days (4 x 2)
  5. To achieve five working weeks you need 25 work days plus 8 non-work days in between.
  6. The minimum total of days required for 5 working weeks is therefore 25 + 8, which is 33 days.
  7. The longest month has only 31 days, which is 2 days short of the minimum number of days required for 5 working weeks.
  8. Therefore the maximum period of working weeks in the longest months of the year are four and three fifths working weeks.

Of course, if a working week is only 3 consecutive days, then every month with 31 days and that starts on a working day will have 5 working weeks:

  1. Five working weeks is 15 days (5 x 3)
  2. The working weeks are separated from each other by 4 'non-work' days.
  3. Between five working weeks there are 4 periods of 4 'non-work' days, i.e. 16 days (4 x 4)
  4. To achieve five working weeks you need 15 work days plus 16 non-work days in between.
  5. The minimum total of days required for five 3-day working weeks is therefore 15 + 16, which is 31 days. No problem!

If a person's 'working week' in a particular situation is only two consecutive days long, in months with 31 days the maximum number of working weeks is still only five.

This is because, although the pattern of 2 working + 5 non-work days requires only 30 days for a period of five '2-working day' weeks, the remaining day has to be a non-work day at one end or the other of the month.

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

BeauBeau
You're doing better than you think!
Chat with Beau
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
SteveSteve
Knowledge is a journey, you know? We'll get there.
Chat with Steve

Add your answer:

Earn +20 pts
Q: What months have 5 working weeks?
Write your answer...
Submit
Still have questions?
magnify glass
imp