For a week Raymond is paid at the rate of x dollars per hour : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 07:24

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 10 Oct 2008
Posts: 56
Followers: 1

Kudos [?]: 46 [0], given: 0

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

### Show Tags

10 Oct 2008, 09:47
2
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:44) correct 17% (01:03) wrong based on 94 sessions

### HideShow timer Statistics

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: 76 Followers: 1 Kudos [?]: 8 [0], given: 0 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] ### Show Tags 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: 1043 Followers: 14 Kudos [?]: 569 [0], given: 1 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] ### Show Tags 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: 76 Followers: 1 Kudos [?]: 8 [0], given: 0 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] ### Show Tags 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: 141 Followers: 0 Kudos [?]: 68 [0], given: 28 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] ### Show Tags 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: 36609 Followers: 7099 Kudos [?]: 93524 [1] , given: 10568 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] ### Show Tags 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: 141
Followers: 0

Kudos [?]: 68 [0], given: 28

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

### Show Tags

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? Manager Joined: 24 May 2014 Posts: 99 Location: India GMAT 1: 590 Q39 V32 GRE 1: 310 Q159 V151 GRE 2: 312 Q159 V153 GPA: 2.9 Followers: 0 Kudos [?]: 7 [0], given: 348 Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] ### Show Tags 02 Sep 2016, 20:49 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.!! Re: For a week Raymond is paid at the rate of x dollars per hour [#permalink] 02 Sep 2016, 20:49 Similar topics Replies Last post Similar Topics: 1 A certain employee is paid$6 per hour for an 8-hour workday. If the e 6 22 Dec 2014, 07:52
6 If Jim earns x dollars per hour, it will take him 4 hours to 12 05 Jul 2011, 13:23
2 Each week John earns X dollars per hour for the first 40 3 25 Nov 2010, 04:56
72 If Bob produces 36 or fewer in a week, he is paid X dollars 28 20 Dec 2009, 05:55
4 If Bob produces 36 or fewer items in a week, he is paid X dollars per 6 23 Aug 2008, 07:29
Display posts from previous: Sort by