It is currently 18 Sep 2019, 16:05
My Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Employee X is paid $ 19.50 an hour no matter how many hours

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 8120
Followers: 157

Kudos [?]: 1700 [0], given: 7473

CAT Tests
Employee X is paid $ 19.50 an hour no matter how many hours [#permalink] New post 10 Sep 2019, 10:24
Expert's post
00:00

Question Stats:

80% (01:31) correct 20% (04:57) wrong based on 10 sessions
Employee X is paid $ 19.50 an hour no matter how many hours he works per week. Employee Y is paid $ 18 an hour for the first 40 hours she works in a week and is paid 1.5 times the hourly rate for every additional hour she works. On a certain week, both employees worked the same number of hours and were paid the same amount. How many hours did each employee work that week?


A. 32

B. 36

C. 40

D. 42

E. 48

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Manager
Manager
Joined: 22 Aug 2019
Posts: 59
Followers: 0

Kudos [?]: 30 [1] , given: 8

CAT Tests
Re: Employee X is paid $ 19.50 an hour no matter how many hours [#permalink] New post 12 Sep 2019, 20:43
1
This post received
KUDOS
Carcass wrote:
Employee X is paid $ 19.50 an hour no matter how many hours he works per week. Employee Y is paid $ 18 an hour for the first 40 hours she works in a week and is paid 1.5 times the hourly rate for every additional hour she works. On a certain week, both employees worked the same number of hours and were paid the same amount. How many hours did each employee work that week?


A. 32

B. 36

C. 40

D. 42

E. 48

Kudos for the right answer and explanation


The equations that describe the pay for the employees are:
y = 19.50*(40 + x)
y = 18*40 + (18*1.5)*x = 18*40 + 27 *x

note that 40 represents the number of hours already worked (since we know at least that much time must have passed)
and then x represents the number of hours over 40 that need to be worked before their pays intersect.

Now set them equal and solve

19.50*(40 + x) = 18*40 + 27 *x
780 + 19.5*x = 720 + 27 * x
60 = 7.5x

x = 8

40 (hours already worked ) + 8 = 48
Re: Employee X is paid $ 19.50 an hour no matter how many hours   [#permalink] 12 Sep 2019, 20:43
Display posts from previous: Sort by

Employee X is paid $ 19.50 an hour no matter how many hours

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.