Find all School-related info fast with the new School-Specific MBA Forum

It is currently 29 Aug 2015, 01:56
GMAT Club 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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Carmen currently works 30 hours per week at her part-time

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29105
Followers: 4725

Kudos [?]: 49694 [0], given: 7403

Carmen currently works 30 hours per week at her part-time [#permalink] New post 26 Aug 2012, 02:15
Expert's post
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (02:13) correct 26% (01:07) wrong based on 421 sessions
Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?

(1) Her gross weekly pay is currently $225.00.
(2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.


Practice Questions
Question: 28
Page: 277
Difficulty: 650
[Reveal] Spoiler: OA

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 29105
Followers: 4725

Kudos [?]: 49694 [1] , given: 7403

Re: Carmen currently works 30 hours per week at her part-time [#permalink] New post 31 Aug 2012, 01:50
1
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
SOLUTION:

Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?

Let \(w\) be Carmen's gross hourly wage and \(t\) be the number of hours fewer Carmen will need to work. We need to find such \(t\) that \(30w=(30-t)(w+1.5)\).

(1) Her gross weekly pay is currently $225.00 --> \(30w=225\) --> we can find \(w\), so in \(30w=(30-t)(w+1.5)\) we'll be left with only one unknown: \(t\), which means that we can solve for it. Sufficient.

(2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage --> \(1.5=0.2w\). The same here: we can find \(w\), so we can find \(t\). Sufficient.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Intern
Intern
avatar
Joined: 24 Feb 2013
Posts: 6
GMAT Date: 08-15-2013
GPA: 3.75
Followers: 0

Kudos [?]: 1 [0], given: 19

Re: Carmen currently works 30 hours per week at her part-time [#permalink] New post 22 Aug 2013, 01:48
Hi,

I have a query with this question.

From option 1, after solving, we get that the new number of hours is 25 i.e, 5 hours less.

Option 2 states, that there was a 20% inc in the per hour wage. Can we use the concept of ratios here.
To keep total wage constant, if we increase per hour wage by 20%, we need to decrease the number of hours worked by 20% too.
=> New No. of Hours worked = 30-20%(30)= 24
This option does not provide the same answer as 1. Can you please explain the reason why ?
The relation used : Total Wage/month = No. of Hours worked * Wage/Hour

Thanks,
Sahil
Manager
Manager
User avatar
Joined: 12 Jan 2013
Posts: 249
Followers: 3

Kudos [?]: 39 [0], given: 47

GMAT ToolKit User
Re: Carmen currently works 30 hours per week at her part-time [#permalink] New post 10 Jan 2014, 07:07
Bunuel wrote:
Carmen currently works 30 hours per week at her part-time job. If her gross hourly wage were to increase by $1.50, how many fewer hours could she work per week and still earn the same gross weekly pay as before the increase?

(1) Her gross weekly pay is currently $225.00.
(2) An increase of $1.50 would represent an increase of 20 percent of her current gross hourly wage.


Practice Questions
Question: 28
Page: 277
Difficulty: 650



We are initally given the equation x*30 = Total Salary, and then the question is if we can solve (x + 1.5) * 30 = Total Salary, so we have two unknown values we need to solve for

1) Solves total salary, so now we have one equation and one unknown, which means 1 is sufficient.
2) Gives us the ability to solve for x, so now we have one equation and one variable (Total salary), this is also sufficient.

So, D.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 6101
Followers: 340

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

Premium Member
Re: Carmen currently works 30 hours per week at her part-time [#permalink] New post 15 Mar 2015, 10:03
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: Carmen currently works 30 hours per week at her part-time   [#permalink] 15 Mar 2015, 10:03
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic On a particular trip, Jane drove x miles at 30 miles per hour and y dpo 8 10 Jun 2015, 05:19
2 Peder currently works 40 hours a week. If his hourly wage we guerrero25 2 27 Aug 2013, 01:27
5 Experts publish their posts in the topic If Jim earns x dollars per hour, it will take him 4 hours to mojorising800 12 05 Jul 2011, 13:23
1 Experts publish their posts in the topic Each week John earns X dollars per hour for the first 40 rite2deepti 2 25 Nov 2010, 04:56
2 Experts publish their posts in the topic For a week Raymond is paid at the rate of x dollars per hour Jcpenny 6 10 Oct 2008, 09:47
Display posts from previous: Sort by

Carmen currently works 30 hours per week at her part-time

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.