14 (28 days) payslips and 53 weeks a year

I thought I’ll start my blog with something different, just to get people to think. I work in the railways and I get paid every 4 weeks (28 days) and one year, I got 14 payslips, why? When I worked for a charity, we had 53 weeks one year, why? So, I went looking for an answer.

How long is a year?

We all believe a year is 365 days right? Well, no. 364 goes into 13 (28), but 365 doesn’t, so we have a day left. Its a same with 364 / 52 (7), so we get a day left over again. Its the same with a leap year, so we have 6 hours and a day left over. We know about the 6 hours, which make up a leap year which is the 29th February, but what about the rest?

How long will it be?

Firstly, we need to find out how many years we need to make 28 days, so, that’s easy, 28. Not quite so fast,we forgotten the leap year? So 28 / 4 is 7, now 28 – 7 = 21. But… that’s between 20 and 24 years.

What about the extra week? Well, depending on the leap years, between 5 and 7 years.

And now you know why. If your payslip starts dead on the 1st of January, then it will possibly mean 14 that year, likewise for the weeks, if week 1 is the 1st of January, then you get week 53!

#mathsisnotfun

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