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An employee is paid 1.5 times the regular hourly rate for

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Manager
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An employee is paid 1.5 times the regular hourly rate for [#permalink] New post 09 Jun 2007, 18:55
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An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, ecluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?

1) The employee's regularly hourly rate is $10.
2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.


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I think that the guide has an error in it. The OA is E because they argue that:

(1) From this the employee's regular pay for a 40 hour work week is $400. However, there is no information abut overtime, an so the employee's total pay cannot be calculated; NOT SUFFICIENT.

(2) From this, the employee worked a total of 54-40=14 hours. However, there is no indication of how many hours were worked on Sunday (at 2 times the regular rate) or another day (at 1.5 times the regular rate, or of an hourly rate); NOT SUFFICIENT.

BUT, they seem to overlook the fact that because no more than 8 hours in any day are worked, and that 54 hours / 8 hours = 7.. i.e., 7 days of 8 hours each! From knowing this, we know that the employee will be paid $400 + 8 * 2 (ie Sunday's pay) + (54-40-8)*1.5 (the remaining overtime pay) = $425!!

Someone please point out if my math is incorrect. This isn't the first time that I've run into what I believe to be an error in the OG before.
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 [#permalink] New post 09 Jun 2007, 19:05
8*7 = 56 NOT 54. Sorry mate , I fell in to the same trap earlier myself.
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 [#permalink] New post 09 Jun 2007, 19:09
Heh, you're gonna kick yourself here, 54/8 != 7

=P

therefore, we don't know how many hours were worked on sunday. could be 6, 7, or 8

edit: damn, beaten. at least you know you had the concept down and it was just a brainfart.
  [#permalink] 09 Jun 2007, 19:09
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