GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Nov 2018, 18:54

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

An employee is paid 1.5 times the regular hourly rate for

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 02 Dec 2012
Posts: 177
An employee is paid 1.5 times the regular hourly rate for  [#permalink]

Show Tags

New post 14 Dec 2012, 04:09
3
8
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

77% (01:39) correct 23% (01:43) wrong based on 912 sessions

HideShow timer Statistics

An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?

(1) The employee's regular hourly rate is $10.
(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50585
Re: An employee is paid 1.5 times the regular hourly rate for  [#permalink]

Show Tags

New post 14 Dec 2012, 04:15
2
1
An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?

(1) The employee's regular hourly rate is $10. No information about the number of hours the employee worked last week and what was the distribution of these hours. Not sufficient.

(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day. We don't know what is the regular hourly rate and the distribution of these 54 hours. Not sufficient.

(1)+(2) If the employee worked 40 hours from Monday to Friday (8 hours per day), 7 hours on Saturday and 7 hours on Sunday, then the employee was paid 40*10+7*15+7*20. But if the employee worked 40 hours from Monday to Friday (8 hours per day), 8 hours on Saturday and 6 hours on Sunday, then the employee was paid 40*10+8*15+6*20. Not sufficient.

Answer: E.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | 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?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 06 Jan 2013
Posts: 11
Location: United States
Concentration: Finance, Economics
GMAT Date: 11-15-2013
GPA: 3.5
WE: Education (Education)
Re: An employee is paid 1.5 times the regular hourly rate for  [#permalink]

Show Tags

New post 13 Sep 2013, 21:26
1
Same answer as above, but expanding on the algebra if we're trying to evaluate option (C)

  • \(R=\)Regular Rate (Mon - Sat)
  • \(N=\)Hours worked (Mon - Sat)
  • \(N_s=\)Hours worked Sunday
  • \(R_s=2R=\)Sunday Rate

The total hours worked are 54(\(N+N_s=54\)), this could mean the employee worked 8 hours per day Monday - Saturday (\(N=48\)) and 6 hours Sunday (\(N_s=6\)), in which case

\(Total Pay = 40R+\frac{3}{2}R(8)+R_s6=40R+\frac{3}{2}R(8)+2R6=40R+12R+12R=64R\)

OR the employee could have worked 8 hours per day for 5 weekdays, 6 hours for the remaining weekday (\(N=46\)) and 8 hours on Sunday (\(N_s=8\)), in this case,

\(Total Pay = 40R+\frac{3}{2}R(6)+R_s8=40R+\frac{3}{2}R(6)+2R8=40R+9R+16R=65R\)

In one scenario Total Pay is \(65R\), in the other Total Pay is \(64R\) therefore statements (1) and (2) are jointly insufficient.
Manager
Manager
User avatar
Joined: 12 Jan 2013
Posts: 156
GMAT ToolKit User
Re: An employee is paid 1.5 times the regular hourly rate for  [#permalink]

Show Tags

New post 10 Jan 2014, 08:29
Walkabout wrote:
An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?

(1) The employee's regular hourly rate is $10.
(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.




We are given a complicated equation (IF I understood it correctly):

We are given: 40*x + 1.5*(y - 40) + 2x*Z = Salary last week

Where x is his regular hourly rate, y is total time worked and z is hours worked on sunday.

1) Solves for x, we still have 3 unknowns (y, z, salary)
2) gives us y, and gives us a weak restriction for z, but this is clearly not sufficient

1 + 2: We now have x and y, and just a vague restriction for z (z < 8), and given that he worked 54 hours in total, and an hour can be divided into fractions of an hour, we have different possibilities for z. And thus, we cannot solve for total salary.

So we go with E.
Manager
Manager
avatar
Joined: 21 Oct 2013
Posts: 187
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Re: An employee is paid 1.5 times the regular hourly rate for  [#permalink]

Show Tags

New post 12 Jun 2014, 02:35
(1) We don't know how many hours were worked. IS
(2) we don't know if he maybe wokred 8 hours from monday to friday and 8 hours on saturday and 6 on sunday or in another distribution. IS

(1) + (2) we still don't know the distribution. IS.
SVP
SVP
avatar
B
Joined: 06 Nov 2014
Posts: 1882
Re: An employee is paid 1.5 times the regular hourly rate for  [#permalink]

Show Tags

New post 30 Jun 2015, 23:05
An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?

If x is the hourly rate, H is the number of hours worked in excess of 40, and H' is the number of hours in excess of 40 and on Sunday,
the pay is 40x + 1.5x(H) + 2x(H')

(1) The employee's regular hourly rate is $10. This says x=10. Without knowing H and H' we can't calculate the pay.
(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.
This says that 40+ H + H' = 54. Still, since we don't know x or the number of hours for H and H,' we can' calculate pay.

We don't get any new information by combining the statements, since we still don't know the number of hours worked H and H'.

E
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8774
Premium Member
Re: An employee is paid 1.5 times the regular hourly rate for  [#permalink]

Show Tags

New post 17 Dec 2017, 21:11
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

GMAT Club Bot
Re: An employee is paid 1.5 times the regular hourly rate for &nbs [#permalink] 17 Dec 2017, 21:11
Display posts from previous: Sort by

An employee is paid 1.5 times the regular hourly rate for

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

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

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

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®.