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

It is currently 17 Aug 2018, 16:06

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

Each week, Harry is paid x dollars per hour for the first 30

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

Hide Tags

Manager
Manager
avatar
Joined: 22 Sep 2010
Posts: 84
Each week, Harry is paid x dollars per hour for the first 30 hours and  [#permalink]

Show Tags

New post 01 Oct 2010, 04:36
1
5
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (01:41) correct 15% (02:45) wrong based on 430 sessions

HideShow timer Statistics

Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?

A. 35
B. 36
C. 37
D. 38
E. 39
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 28 Apr 2012, 16:15
6
2
enigma123 wrote:
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, ho wmany hours did Harry work last week?

A. 35
B. 36
C. 37
D. 38
E. 39


James worked for 41 hours hence he earned 40*x+1*2x=42x dollars;

We know that Harry also earned the same 42x dollars, out of which he earned 30x dollars for the first 30 hours plus 12x additional dollars. Since for each additional hour he gets 1.5x dollars then he worked for 12x/1.5x=8 additional hours, so Harry worked for total of 30+8=38 hours.

Answer: D.

Hope it's clear.
_________________

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

Most Helpful Community Reply
Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 510
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 28 Apr 2012, 14:07
3
2
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, ho wmany hours did Harry work last week?

A. 35
B. 36
C. 37
D. 38
E. 39
_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

General Discussion
Manager
Manager
avatar
Joined: 30 Aug 2010
Posts: 89
Location: Bangalore, India
Re: Each week, Harry is paid x dollars per hour for the first 30 hours and  [#permalink]

Show Tags

New post 01 Oct 2010, 04:44
42x=30x+1.5x(H-30)
==> 42=30+1.5(H-30)
==> H-30 = 24/3=8 ==> H = 38

Answer id "D"
Intern
Intern
avatar
Joined: 24 Jun 2010
Posts: 16
Re: Each week, Harry is paid x dollars per hour for the first 30 hours and  [#permalink]

Show Tags

New post 04 Jan 2011, 23:52
30x+1.5x(T-30)=40X+2x

Total hrs(T)=38
Retired Moderator
User avatar
Joined: 02 Sep 2010
Posts: 774
Location: London
GMAT ToolKit User Reviews Badge
Re: Each week, Harry is paid x dollars per hour for the first 30 hours and  [#permalink]

Show Tags

New post 05 Jan 2011, 00:16
ChenggongMAS wrote:
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?

A. 35
B. 36
C. 37
D. 38
E. 39

I almost understand the OG's explanation; however, there is one number that I do not understand in the equation. I will elaborate after a few responses are posted. I do not want to ruin the question for someone with a "hint".

~Chenggong


James worked 41 hours, so he was paid 40x+1(2x)
Lets say Harry worked h hours. Since he was paid the same as Harry, which is more than 30x (42x), he mus have worked more than 30 hours, hence h>30
Harry got paid : 30x+(h-30)1.5x

We know : 30x + (h-30)1.5x=42x
1.5hx -15x = 42x
1.5hx -57x = 0
(1.5h - 57)x=0
h = 57/1.5 = 38

Answer is (d)
_________________

Math write-ups
1) Algebra-101 2) Sequences 3) Set combinatorics 4) 3-D geometry

My GMAT story

GMAT Club Premium Membership - big benefits and savings

Manager
Manager
User avatar
Joined: 27 Jun 2008
Posts: 58
Location: United States (AL)
Concentration: General Management, Technology
GMAT 1: 660 Q48 V34
WE: Consulting (Computer Software)
Re: Each week, Harry is paid x dollars per hour for the first 30 hours and  [#permalink]

Show Tags

New post 05 Jan 2011, 00:42
Is the following approach ok?

James got paid : 40x+2x = 42x

harry : 30x+ (1.5x)Y ... Y are the additional hours that harry put in after 30 hrs of work.

42x = 30x + (1.5x)Y

12x = (1.5x)Y

Y = 12/1.5 = 8

Total hours = 30+8 = 38.
Intern
Intern
avatar
Joined: 03 Apr 2012
Posts: 25
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 07 May 2012, 17:30
Bunuel wrote:
enigma123 wrote:
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, ho wmany hours did Harry work last week?

A. 35
B. 36
C. 37
D. 38
E. 39


James worked for 41 hours hence he earned 40*x+1*2x=42x dollars;

We know that Harry also earned the same 42x dollars, out of which he earned 30x dollars for the first 30 hours plus 12x additional dollars. Since for each additional hour he gets 1.5x dollars then he worked for 12x/1.5x=8 additional hours, so Harry worked for total of 30+8=38 hours.

Answer: D.

Hope it's clear.


Hi Bunuel,
could you please tell me why my approach is incorrect.
Total hours worked by Harry is H
Number of additional hours = H-30
Total earned by James is 42 as you calculated

30x+(H-30)1.5x = 42x
(H-30)1.5x=12x= 1.5x -45=12= x=67/1.5==44 hours
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 08 May 2012, 01:15
jayaddula wrote:
Bunuel wrote:
enigma123 wrote:
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, ho wmany hours did Harry work last week?

A. 35
B. 36
C. 37
D. 38
E. 39


James worked for 41 hours hence he earned 40*x+1*2x=42x dollars;

We know that Harry also earned the same 42x dollars, out of which he earned 30x dollars for the first 30 hours plus 12x additional dollars. Since for each additional hour he gets 1.5x dollars then he worked for 12x/1.5x=8 additional hours, so Harry worked for total of 30+8=38 hours.

Answer: D.

Hope it's clear.


Hi Bunuel,
could you please tell me why my approach is incorrect.
Total hours worked by Harry is H
Number of additional hours = H-30
Total earned by James is 42 as you calculated

30x+(H-30)1.5x = 42x
(H-30)1.5x=12x= 1.5x -45=12= x=67/1.5==44 hours


Equation is correct, math is not: 30x+(H-30)1.5x=42x--> (H-30)1.5=12 --> H-30=8 --> H=38.

Hope it's clear.
_________________

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

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 31 May 2013, 06:22
Manager
Manager
avatar
Joined: 27 Apr 2012
Posts: 58
Location: United States
GMAT Date: 06-11-2013
GPA: 3.5
WE: Marketing (Consumer Products)
GMAT ToolKit User Premium Member
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 02 Jun 2013, 12:56
2
James worked a total of 41 hours, hence James earned amount = 40x + 2x = 42x

Harry and James were paid the same amount last week.Let y be the number of additional hours that Harry has worked over and above the 30 hrs

therefore 42x = 30x (amount Harry earned for the first 30 hours) + 1.5xy

12x = 1.5xy

Hence, y = 8

Since y is the incremental number of hours that Harry has worked,

Harry has worked a total of 30 + 8 = 38 hours last week
Intern
Intern
avatar
Joined: 06 Aug 2012
Posts: 12
Location: Russian Federation
Concentration: International Business, General Management
GMAT Date: 06-28-2013
WE: Sales (Manufacturing)
GMAT ToolKit User Reviews Badge
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 03 Jun 2013, 02:24
1
I used simple substitution.
Let's assume both of them are paid 10 $ per hour.
Since Harry and James are paid the same amount then :
10*30+1.5*10*t (time)= 10*40+20 (we know that James worked for total 41 hours)
300+15t=420
t=8 hours ==> Harry worked for 30+8 = 38 hours

Answer: D
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47977
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 28 Dec 2017, 04:52
Director
Director
User avatar
P
Joined: 09 Mar 2016
Posts: 758
Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post Updated on: 23 Feb 2018, 13:13
1
pzazz12 wrote:
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?

A. 35
B. 36
C. 37
D. 38
E. 39


Yay ! i have the most fantastic solution :)

let x = dollars
y = hours

Hary 30x+1.5x
James 40x + 2x

so say 1 dollar is hourly wage ---> If James earned $ 42 then Harry 30 +(1.5*8) = 38 hours :)
_________________

In English I speak with a dictionary, and with people I am shy.


Originally posted by dave13 on 23 Feb 2018, 12:00.
Last edited by dave13 on 23 Feb 2018, 13:13, edited 1 time in total.
SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1904
Premium Member CAT Tests
Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 23 Feb 2018, 12:58
1
dave13 wrote:
pzazz12 wrote:
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?

A. 35
B. 36
C. 37
D. 38
E. 39

Yay ! i have the most fantastic solution :)

let x = dollars
y = hours

Hary 30x+1.5x
James 40x-2x

so say 1 dollar is hourly wage ---> If James earned $ 42 then Harry 30 +(1.5*8) = 38 hours :)

Nice work. Just one typo that might confuse someone. :-)
James is 40x + 2x.
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Director
Director
User avatar
P
Joined: 09 Mar 2016
Posts: 758
Re: Each week, Harry is paid x dollars per hour for the first 30  [#permalink]

Show Tags

New post 23 Feb 2018, 13:12
generis wrote:
dave13 wrote:
pzazz12 wrote:
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ?

A. 35
B. 36
C. 37
D. 38
E. 39

Yay ! i have the most fantastic solution :)

let x = dollars
y = hours

Hary 30x+1.5x
James 40x-2x

so say 1 dollar is hourly wage ---> If James earned $ 42 then Harry 30 +(1.5*8) = 38 hours :)

Nice work. Just one typo that might confuse someone. :-)
James is 40x + 2x.


Hello generis, :) thanks ! i will edit it. you know what i like about you ? :) your sharp eye :)
_________________

In English I speak with a dictionary, and with people I am shy.

Re: Each week, Harry is paid x dollars per hour for the first 30 &nbs [#permalink] 23 Feb 2018, 13:12
Display posts from previous: Sort by

Each week, Harry is paid x dollars per hour for the first 30

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

Events & Promotions

PREV
NEXT


cron

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®.