Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 22 Sep 2010
Posts: 86

Each week, Harry is paid x dollars per hour for the first 30 hours and [#permalink]
Show Tags
01 Oct 2010, 04:36
1
This post received KUDOS
5
This post was BOOKMARKED
Question Stats:
86% (01:39) correct 14% (02:46) wrong based on 406 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
Official Answer and Stats are available only to registered users. Register/ Login.



Manager
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
01 Oct 2010, 04:44
42x=30x+1.5x(H30) ==> 42=30+1.5(H30) ==> H30 = 24/3=8 ==> H = 38
Answer id "D"



Intern
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
04 Jan 2011, 23:52
30x+1.5x(T30)=40X+2x
Total hrs(T)=38



Retired Moderator
Joined: 02 Sep 2010
Posts: 775
Location: London

Re: Each week, Harry is paid x dollars per hour for the first 30 hours and [#permalink]
Show Tags
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+(h30)1.5x We know : 30x + (h30)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 writeups 1) Algebra101 2) Sequences 3) Set combinatorics 4) 3D geometry
My GMAT story
GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 27 Jun 2008
Posts: 60
Location: United States (AL)
Concentration: General Management, Technology
WE: Consulting (Computer Software)

Re: Each week, Harry is paid x dollars per hour for the first 30 hours and [#permalink]
Show Tags
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.



Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 514
Location: United Kingdom
Concentration: International Business, Strategy
GPA: 2.9
WE: Information Technology (Consulting)

Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
28 Apr 2012, 14:07
3
This post received KUDOS
2
This post was BOOKMARKED
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



Math Expert
Joined: 02 Sep 2009
Posts: 45275

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
28 Apr 2012, 16:15
6
This post received KUDOS
Expert's post
2
This post was BOOKMARKED
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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 03 Apr 2012
Posts: 26

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
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 = H30 Total earned by James is 42 as you calculated 30x+(H30)1.5x = 42x (H30)1.5x=12x= 1.5x 45=12= x=67/1.5==44 hours



Math Expert
Joined: 02 Sep 2009
Posts: 45275

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
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 = H30 Total earned by James is 42 as you calculated 30x+(H30)1.5x = 42x (H30)1.5x=12x= 1.5x 45=12= x=67/1.5==44 hours Equation is correct, math is not: 30x+(H30)1.5x=42x> (H30)1.5=12 > H30=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? Extrahard Quant Tests with Brilliant Analytics



Math Expert
Joined: 02 Sep 2009
Posts: 45275

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
31 May 2013, 06:22



Manager
Joined: 27 Apr 2012
Posts: 58
Location: United States
GMAT Date: 06112013
GPA: 3.5
WE: Marketing (Consumer Products)

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
02 Jun 2013, 12:56
2
This post received KUDOS
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
Joined: 06 Aug 2012
Posts: 12
Location: Russian Federation
Concentration: International Business, General Management
GMAT Date: 06282013
WE: Sales (Manufacturing)

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
03 Jun 2013, 02:24
1
This post received KUDOS
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
Joined: 02 Sep 2009
Posts: 45275

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
28 Dec 2017, 04:52



Director
Joined: 09 Mar 2016
Posts: 527

Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
Updated on: 23 Feb 2018, 13:13
1
This post received KUDOS
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
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
Joined: 22 May 2016
Posts: 1668

Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
23 Feb 2018, 12:58
1
This post received KUDOS
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 40x2x 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
Joined: 09 Mar 2016
Posts: 527

Re: Each week, Harry is paid x dollars per hour for the first 30 [#permalink]
Show Tags
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 40x2x 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




Re: Each week, Harry is paid x dollars per hour for the first 30
[#permalink]
23 Feb 2018, 13:12






