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# For a week Raymond is paid at the rate of x dollars per hour

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Manager
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For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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10 Oct 2008, 10:47
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Question Stats:

84% (00:41) correct 16% (00:58) wrong based on 120 sessions

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For a week Raymond is paid at the rate of x dollars per hour for the first 40 hours he works and y dollars per hour for the hours worked in excess of 40 hours. What is the value of y?

(1) If Raymond works 46 hours in one week, he will earn \$416.50.
(2) Raymond’s hourly rate for the hours worked in excess of 40 hours per week is 1.5 times his hourly rate for the first 40 hours.
[Reveal] Spoiler: OA

Last edited by Bunuel on 31 Dec 2014, 04:30, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.

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Manager
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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10 Oct 2008, 10:55
40x + y(n-40)

statement 1

40x+y(n-40) = 416.5

n=46

still missing x & y

statement 2

1.5y = x

still missing n

both statements

n=46

y=1.5x

40x+1.5x*6 = 416.5

49x=416.5

x=8.5

The answer is (C)

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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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10 Oct 2008, 11:18
Greenberg wrote:
40x + y(n-40)

statement 1

40x+y(n-40) = 416.5

n=46

still missing x & y

statement 2

1.5y = x

still missing n

both statements

n=46

y=1.5x

40x+1.5x*6 = 416.5

49x=416.5

x=8.5

The answer is (C)

C is right. But shouldn't it be Y=1.5X ?? (hours worked in excess (Y) of 40 hours per week is 1.5 times his hourly rate for the first 40 hours(X))
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Manager
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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10 Oct 2008, 11:20
amitdgr wrote:

C is right. But shouldn't it be Y=1.5X ?? (hours worked in excess (Y) of 40 hours per week is 1.5 times his hourly rate for the first 40 hours(X))

Yes - my bad

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Manager
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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30 Dec 2014, 09:09
Hi,
I am bumping this question since I just got it in my Gmat Prep exam.

My confusion is: "how would you write algebraically the Raymond´s salary formula given in the question stem?" I am talking about that step you make when you want to translate the given info in the question BEFORE going to the statements.

I would write it as 40x + y (h - 40) in which h is the total hours Raymond works.

However, isn´t this formula assuming that Raymond would work AT LEAST 40 hours total?
In other words, if Raymond worked just 10 hours, the formula "breaks"...

Is there another way to write this stuff without making such an assumption?

Thanks!
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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31 Dec 2014, 04:34
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minwoswoh wrote:
For a week Raymond is paid at the rate of x dollars per hour for the first 40 hours he works and y dollars per hour for the hours worked in excess of 40 hours. What is the value of y?

(1) If Raymond works 46 hours in one week, he will earn \$416.50.
(2) Raymond’s hourly rate for the hours worked in excess of 40 hours per week is 1.5 times his hourly rate for the first 40 hours.

Hi,
I am bumping this question since I just got it in my Gmat Prep exam.

My confusion is: "how would you write algebraically the Raymond´s salary formula given in the question stem?" I am talking about that step you make when you want to translate the given info in the question BEFORE going to the statements.

I would write it as 40x + y (h - 40) in which h is the total hours Raymond works.

However, isn´t this formula assuming that Raymond would work AT LEAST 40 hours total?
In other words, if Raymond worked just 10 hours, the formula "breaks"...

Is there another way to write this stuff without making such an assumption?

Thanks!

If h <= 40, then salary = hx.
If h > 40, then salary = 40x + y(h - 40).
_________________

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Manager
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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31 Dec 2014, 16:44
Bunuel wrote:
minwoswoh wrote:
For a week Raymond is paid at the rate of x dollars per hour for the first 40 hours he works and y dollars per hour for the hours worked in excess of 40 hours. What is the value of y?

(1) If Raymond works 46 hours in one week, he will earn \$416.50.
(2) Raymond’s hourly rate for the hours worked in excess of 40 hours per week is 1.5 times his hourly rate for the first 40 hours.

Hi,
I am bumping this question since I just got it in my Gmat Prep exam.

My confusion is: "how would you write algebraically the Raymond´s salary formula given in the question stem?" I am talking about that step you make when you want to translate the given info in the question BEFORE going to the statements.

I would write it as 40x + y (h - 40) in which h is the total hours Raymond works.

However, isn´t this formula assuming that Raymond would work AT LEAST 40 hours total?
In other words, if Raymond worked just 10 hours, the formula "breaks"...

Is there another way to write this stuff without making such an assumption?

Thanks!

If h <= 40, then salary = hx.
If h > 40, then salary = 40x + y(h - 40).

Gotcha! How dumb I was...
+1 for you. Happy New Year, Bunuel.
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Consider giving me Kudos if I helped, but don´t take them away if I didn´t!

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Manager
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Location: India
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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02 Sep 2016, 21:49
I was able to understand as to why we need to derive the equation 40x+y(n-40) from the question stem. But in statement 1, it is mentioned that total duration is 46 hours, can't the equation 40x+6y=416.50 be used and some value of x&y will satisfy the equation.!!

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Manager
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink]

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10 Jun 2017, 07:32
narendran1990 wrote:
I was able to understand as to why we need to derive the equation 40x+y(n-40) from the question stem. But in statement 1, it is mentioned that total duration is 46 hours, can't the equation 40x+6y=416.50 be used and some value of x&y will satisfy the equation.!!

not sure whether I understand your question

but in DS you need one unique solution and for 40x+6y=416.50 there are several solution, thus several possibilities for y
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Re: For a week Raymond is paid at the rate of x dollars per hour   [#permalink] 10 Jun 2017, 07:32
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# For a week Raymond is paid at the rate of x dollars per hour

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