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A little maths help would be nice please!!!

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Old 17 April 2012, 06:39 PM
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v5 man
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Smile A little maths help would be nice please!!!

My head is going to explode trying to work out a proposed temporary change of hours at work, I'm hoping someone can please check my maths or maybe point me right if possible please

I currently work 40 hours per week, but for a period of time my company would like me to work different hours.

The dates are: July 1st until September 16th.
My shifts would be "6 on" and then "4 off". The "6 on" equals 58 hours.

I work out that over that same period (11 weeks I make it), I would normally do 11 x 40hr weeks, so 440 hours in total.

But I work out, that starting from July the 1st, "6 on", I would do 8 x 58 hour shifts over the 11 weeks, so 464 hours in total.

Am I correct? My management seem to think it's less than the 440 hours I do now!!!!!

I think I've gone into meltdown and cannot see the light

Any help greatly appreciated so I can fight my corner


Cliff
Old 17 April 2012, 06:52 PM
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davegtt
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Theres 77 days between the 1st of July and the 16th of Sept which divided by the 11 weeks makes 7 full weeks work doing 58 hours at a time each instead of 11 weeks of 40 hours work.

Basically your work is right, you will be doing 406 hours in total over the period on your 6 on 4 off scheme.

Good luck and I take no responsibility for my math being wrong lol
Old 17 April 2012, 06:59 PM
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daviee
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Working it out over a period that both shift pattern fit in to i.e 70 days, that would equate to 10 x 40 = 400 hours , 7x 58 would be 406 hours so a 40.6 hour working week.
Old 17 April 2012, 07:05 PM
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scud8
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I think you're right that you will do 8 six day shifts between 1 July and 16 Sept if the first starts on 1 July. The last shift will finish on 15 September, so if you switch back to normal working on 17 September you will only get one day of the last four day off period. If each six day shift is 58 hours then I agree this is 464 hours.

Where does the 58 hours per shift come from? If you are working six 8 hour days that would only be 48 hours for each shift, which would mean you are only working 384 hours. 58 hours would mean you are working 11.6 hours a day, which doesn't seem to make sense.
Old 17 April 2012, 07:07 PM
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jonc
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Due to the Olympics?
Old 17 April 2012, 07:08 PM
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v5 man
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What I did was, got my calendar, blocked out the 6 days on, left the 4 days off, from July 1st to Sept 16th, I can see physically that I will do 8 x blocks of 6 days in that period, hence 8 x 58 hours - 464 hours, that's how I came to my conclusion!!!
Old 17 April 2012, 07:09 PM
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Originally Posted by jonc
Due to the Olympics?
Yeah!!!
Old 17 April 2012, 07:11 PM
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Originally Posted by scud8
I think you're right that you will do 8 six day shifts between 1 July and 16 Sept if the first starts on 1 July. The last shift will finish on 15 September, so if you switch back to normal working on 17 September you will only get one day of the last four day off period. If each six day shift is 58 hours then I agree this is 464 hours.

Where does the 58 hours per shift come from? If you are working six 8 hour days that would only be 48 hours for each shift, which would mean you are only working 384 hours. 58 hours would mean you are working 11.6 hours a day, which doesn't seem to make sense.
The 58 hours come from:

2 x early shifts at 10 hours each!!! (20 hours)
2 x late shifts at 10 hours each!! (20 hours)
2 x night shifts at 9 hours each!! (18 hours)
Old 17 April 2012, 07:15 PM
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davegtt
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I might be wrong
Old 17 April 2012, 07:16 PM
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steve ex vauxhall
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Have you taken into account weekends?
I mean as your doing so many on then 4 off, as they progress through the weeks, when you get to weekends, some of your days will fall in one week and some will fall in the next week, even though your working that many days, they would be split across 2 weeks, this matters if your weekly paid!
Old 17 April 2012, 07:17 PM
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v5 man
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Originally Posted by davegtt
I might be wrong
It's not straight forward, hence the meltdown of my own brain!!!!
Old 17 April 2012, 07:20 PM
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Originally Posted by steve ex vauxhall
Have you taken into account weekends?
I mean as your doing so many on then 4 off, as they progress through the weeks, when you get to weekends, some of your days will fall in one week and some will fall in the next week, even though your working that many days, they would be split across 2 weeks, this matters if your weekly paid!
Firstly, the extra weekends will be a contentious issue, but all my working out is over the 11 weeks for this calculation, hence i'm working by hours over 11 weeks for a comparison
Old 17 April 2012, 07:24 PM
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I suppose if you work on 10 day week (6 on 4 off) and 77 days over the period. making 7.7*58 hours = 446 working hours. But thats presuming the who 6 days on and 4 days off would work exactly over the 77 days. which is doesnt haha

Last edited by davegtt; 17 April 2012 at 07:25 PM.
Old 17 April 2012, 07:51 PM
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markjmd
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For the first 70 days of the period, you'd have worked an extra 6 hours doing the 6 on 4 off than your normal 40 hour week, so it would all depend what your shifts are for the last 7 days, and/or when your first day back at work on normal shifts would be after the 14th (and up to a point, also whether you normally work weekends, since 1st July is a Sunday).

If you were working a 6 day shift up until the 14th, then expected back at work on Monday 17th, you'd end up having worked an extra 24 hours compared with a normal mon-fri 40 hour setup. If you worked a 6 day shift finishing on the 14th and then you didn't go back until the 19th, which is the date you should go back if you did 8 full cycles of the 6-on 4-off setup, you'd end up having worked just an extra 8 hours.

Sums as follows:
1st July to 8 September:
6-on, 4-off=406 hours
40-hour wk= 400 hours

9th September to 21st:
6-on, 4-off, due-back date of 17th=58+40
6-on, 4-off, due-back date of 19th=58+24
40 hour weeks=80

So, from 1st July to 21st September:
6-on, 4-off, due-back date of 17th=406+58+40=504
6-on, 4-off, due-back date of 19th=406+58+24=488
40 hour, mon-fri weeks right through=400+80=480
Old 17 April 2012, 08:32 PM
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Excellent Mark, thank you very much, that makes sense, I hope that'll be enough to fight my argument
Old 17 April 2012, 08:35 PM
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scud8
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I think your calculations are right. You probably need to find out how your bosses are working it out and show them where they are going wrong. I suspect they have done a simple averaging calculation based on you working 58 hours every 10 day cycle and then multiplied that by 7.7, which as davegtt pointed out gives 446.6 hours. That isn't right though because you will work six of the last seven days of the 77 day period.
Old 17 April 2012, 08:50 PM
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v5 man
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Originally Posted by scud8
I think your calculations are right. You probably need to find out how your bosses are working it out and show them where they are going wrong. I suspect they have done a simple averaging calculation based on you working 58 hours every 10 day cycle and then multiplied that by 7.7, which as davegtt pointed out gives 446.6 hours. That isn't right though because you will work six of the last seven days of the 77 day period.
That's exactly how I see it. Speaking to one of them earlier he pretty much did the sums out loud with multiplication and division, but it just doesn't work, hence why I now have it proven on a calender with the 8 x 58hr shifts marked for that 11 week period
Old 17 April 2012, 09:52 PM
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daviee
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The other thing to consinder is holidays are you are now working in effect a 10 day week ie your normal working week to get 14 days off you would need 10 days holiday now you only need 6 days to get a full 14 days off so your days would need cut pro rata. Not a problem if your not taking time off.
Old 17 April 2012, 10:24 PM
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All leave is cancelled for this time period, just to add insult to injury!!!
I'm looking forward to seeing what happens in September when everyone has loads of leave left and all trys to take their time off before the December 31st deadline
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