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

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For a week Raymond is paid at the rate of x dollars per hour [#permalink] New post 10 Oct 2008, 09:47
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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, 03:30, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] New post 10 Oct 2008, 09:55
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] New post 10 Oct 2008, 10:18
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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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] New post 10 Oct 2008, 10:20
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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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] New post 30 Dec 2014, 08:09
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] New post 31 Dec 2014, 03:34
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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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Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] New post 31 Dec 2014, 15:44
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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Re: For a week Raymond is paid at the rate of x dollars per hour   [#permalink] 31 Dec 2014, 15:44
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