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An employee is paid 1.5 times the regular hourly rate for ea

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An employee is paid 1.5 times the regular hourly rate for ea [#permalink] New post 18 Mar 2010, 17:24
00:00
A
B
C
D
E

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  35% (medium)

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61% (01:57) correct 38% (01:14) wrong based on 47 sessions
An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding 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 regular 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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: an-employee-is-paid-1-5-times-the-regular-hourly-rate-for-144130.html
[Reveal] Spoiler: OA

Last edited by lionslion on 19 Mar 2010, 04:34, edited 1 time in total.
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Re: Employee paid last week [#permalink] New post 18 Mar 2010, 19:51
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lionslion wrote:
An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week,excluding 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 regular 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.


E

stmnt1 - we do not know the number of hours worked. hence insuff
stmnt2 - we do not know the hourly rate. hence insuff

taking together we can assume that employee worked for 8 hrs per day from Monday to Friday i.e. a total of 40 hours but then employee can work for 8hrs either on Saturday or Sunday.
It may also be that employee worked for 8 hours on both Saturday and Sunday

Hence insufficient together as well.
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Re: Employee paid last week [#permalink] New post 18 Mar 2010, 20:34
S1. I - We do not know total hours worked last week, or when they were worked
S2. I - There are multiple scenarios. He could have worked 46 hours from Mon-Sat and 8 hours on Sunday. Or, he could have worked 48 hours from Mon-Sat and 6 hours on Sunday. We can't determine which is the case.

S1 + S2 still doesn't determine his precise schedule, so answer is

E
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Re: Employee paid last week [#permalink] New post 18 Mar 2010, 20:43
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1 more (E).

(1) states only the wage, but we know nothing of the number of hours worked
(2) states only the number of hours worked last week, but we don't know how much the employee is paid per hour

when taken both together, though it seems as we have all the necessary information, we still cannot determine exactly how many hours the employee worked on the more special day, which is Sunday (since he gets paid twice the wage). Given only 54 hours of work, the employee could have worked 6, 7, or 8 hours on Sunday, which will give him different salaries for that week.

To illustrate the above point, here's a crappy diagram:
Monday Tuesday Wednesday Thursday Friday Saturday Sunday Total Hours Total wage
8 8 8 8 8 8 6 54 $600 <--1 possibility
8 8 8 8 8 7 7 54 $610 <--1 possibility
8 8 8 8 8 6 8 54 $620 <--1 possiblity

Therefore, even with both statement together, the possibilities can still be $600, $610, or $620, (E) is the answer.
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Re: Employee paid last week [#permalink] New post 19 Mar 2010, 04:37
Ahh... What a blunder I made..
Yesterday while working out some DS questions. I came across this one and in a hurry.. i assumed 7*8 is 54 and marked C. :x :x
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Re: Employee paid last week [#permalink] New post 19 Mar 2010, 12:07
Answer should be E both are insufficient. Mainly becos from both the stmts we cannot determine how many hours he worked on sunday.
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Re: Employee paid last week [#permalink] New post 20 Mar 2010, 18:01
It's E since we can't determine how many hours worked on Sunday vs. other days.
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Re: Employee paid last week [#permalink] New post 26 Apr 2010, 09:58
C for me. But i agree with E.
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Re: An employee is paid 1.5 times the regular hourly rate for [#permalink] New post 22 Jan 2014, 03:08
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Re: An employee is paid 1.5 times the regular hourly rate for ea [#permalink] New post 22 Jan 2014, 05:12
Expert's post
An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding 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 regular hourly rate is $10. No information about the number of hours the employee worked last week and what was the distribution of these hours. Not sufficient.

(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day. We don't know what is the regular hourly rate and the distribution of these 54 hours. Not sufficient.

(1)+(2) If the employee worked 40 hours from Monday to Friday (8 hours per day), 7 hours on Saturday and 7 hours on Sunday, then the employee was paid 40*10+7*15+7*20. But if the employee worked 40 hours from Monday to Friday (8 hours per day), 8 hours on Saturday and 6 hours on Sunday, then the employee was paid 40*10+8*15+6*20. Not sufficient.

Answer: E.

OPEN DISCUSSION OF THIS QUESTION IS HERE: an-employee-is-paid-1-5-times-the-regular-hourly-rate-for-144130.html
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Re: An employee is paid 1.5 times the regular hourly rate for ea   [#permalink] 22 Jan 2014, 05:12
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