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An employee is paid 1.5 times the regular hourly rate for each hour wo [#permalink]

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28 Jul 2010, 07:44

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Difficulty:

55% (hard)

Question Stats:

57% (00:38) correct
43% (00:53) wrong based on 8 sessions

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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, 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.

Re: An employee is paid 1.5 times the regular hourly rate for each hour wo [#permalink]

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28 Jul 2010, 08:13

to find the employee paid last week - we need to know how much hours he has worked on each day,overttime, - what are his hourly rates

stmt1 gives the rate but no idea how much he has worked

stmt2 employee has worked 54-40=14 hours more. since has not worked more than 8 hours per day, can either divide 54 in (8,8,8,8,8,8,6) or (6,8,8,8,8,8,8) stmt is not suff because - we do not know the wages per hour - there are many combination possible for hours worked. if on sunday he works 8 or 6 hours, then the wage wil change

Concentration: Entrepreneurship, International Business

GMAT 3: 740 Q40 V50

GMAT 4: 700 Q48 V38

GMAT 5: 710 Q45 V41

GMAT 6: 680 Q47 V36

GMAT 9: 740 Q49 V42

GMAT 11: 500 Q47 V33

GMAT 14: 760 Q49 V44

WE: Supply Chain Management (Energy and Utilities)

Re: An employee is paid 1.5 times the regular hourly rate for each hour wo [#permalink]

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28 Jul 2010, 14:07

I'm in the same boat re: DS. I really think practice is the only way to get these down perfectly.

In the case of this question, there are a lot of interesting variables, and GMAT wants to make sure you're paying attention.

You know that regular overtime = 1.5r * (t - 40), where r is regular hourly rate and t is total hours. You are also told the employee gets a special Sunday overtime = 2r * (S) where S equals hours worked on Sunday.

The final question is: how much was the employee paid last week? Meaning we need variables r, t, and s.

1) This provides r, but not t or S. INSUF 2) This provides t but not S. INSUF

Without a clear explanation of what portion of t was hours worked on Sunday, we can't solve for Sunday overtime. Therefore, 1 and 2 are INSUF together.

An employee is paid 1.5 times the regular hourly rate for [#permalink]

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07 Apr 2011, 17:40

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.

I have a doubt when you combine both statments. please can some clarify.
_________________

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.