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

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Manager
Joined: 10 Oct 2008
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For a week Raymond is paid at the rate of x dollars per hour [#permalink]  10 Oct 2008, 09:47
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88% (01:50) correct 12% (01:09) wrong based on 26 sessions
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. Manager Joined: 27 Sep 2008 Posts: 77 Followers: 1 Kudos [?]: 7 [0], given: 0 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] 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) VP Joined: 30 Jun 2008 Posts: 1048 Followers: 11 Kudos [?]: 348 [0], given: 1 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] 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)) _________________ "You have to find it. No one else can find it for you." - Bjorn Borg Manager Joined: 27 Sep 2008 Posts: 77 Followers: 1 Kudos [?]: 7 [0], given: 0 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] 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 Manager Joined: 10 May 2014 Posts: 94 Followers: 0 Kudos [?]: 23 [0], given: 18 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] 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! _________________ Consider giving me Kudos if I helped, but don´t take them away if I didn´t! What would you do if you weren´t afraid? Math Expert Joined: 02 Sep 2009 Posts: 27238 Followers: 4237 Kudos [?]: 41161 [1] , given: 5672 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] 31 Dec 2014, 03:34 1 This post received KUDOS Expert's post 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).
_________________
Manager
Joined: 10 May 2014
Posts: 94
Followers: 0

Kudos [?]: 23 [0], given: 18

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

Consider giving me Kudos if I helped, but don´t take them away if I didn´t!

What would you do if you weren´t afraid?

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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