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) 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.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 14 Jan 2013
Posts: 143
Concentration: Strategy, Technology
GMAT Date: 08012013
GPA: 3.7
WE: Consulting (Consulting)

At a certain factory, each employee working the second shift
[#permalink]
Show Tags
Updated on: 29 Mar 2014, 08:40
Question Stats:
70% (02:30) correct 30% (02:26) wrong based on 361 sessions
HideShow timer Statistics
At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce? A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
"Where are my Kudos" ............ Good Question = kudos
"Start enjoying all phases" & all Sections
__________________________________________________________________ http://gmatclub.com/forum/collectionofarticlesoncriticalreasoning159959.html
http://gmatclub.com/forum/percentages700800levelquestions130588.html
http://gmatclub.com/forum/700to800levelquantquestionwithdetailsoluition143321.html
Originally posted by HarveyS on 29 Mar 2014, 03:58.
Last edited by Bunuel on 29 Mar 2014, 08:40, edited 2 times in total.
Edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 50579

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
29 Mar 2014, 08:40
Mountain14 wrote: At a certain factory, each employee working the second shift produced 23 as many widgets as each employee working the first shift. If the first shift has 34 as many employees, what fraction of the total widgets did the second shift produce?[/color]
A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 PLEASE CHECK QUESTIONS WHEN POSTING. THANK YOU. At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce? A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 Pick some smart numbers: Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9; Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift employees would be 4*2=8; The ratio of the second shift production to the total is 8/(9+8)=8/17. Answer: A. This question is almost exact copy of the following OG question: Quote: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
(A) 1/2 (B) 2/5 (C) 3/5 (D) 4/5 (E) 5/8 Discussed here: ataloadingdockeachworkeronthenightcrewloaded128407.html
_________________
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




Manager
Joined: 21 Aug 2013
Posts: 80

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
31 Mar 2014, 03:03
Bunuel wrote: Mountain14 wrote: At a certain factory, each employee working the second shift produced 23 as many widgets as each employee working the first shift. If the first shift has 34 as many employees, what fraction of the total widgets did the second shift produce?[/color]
A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 PLEASE CHECK QUESTIONS WHEN POSTING. THANK YOU. At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce? A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 Pick some smart numbers: Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9; Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift employees would be 4*2=8; The ratio of the second shift production to the total is 8/(9+8)=8/17. Answer: A. This question is almost exact copy of the following OG question: Quote: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
(A) 1/2 (B) 2/5 (C) 3/5 (D) 4/5 (E) 5/8 Discussed here: ataloadingdockeachworkeronthenightcrewloaded128407.htmlHi Bunuel, Did not understand the method. Here is one method which I tried, but is not working. Please help. Picking smart numbers let the total number of employees be 12. 1st shift has 3/4 of the total hence 3/4*12 = 9 2nd shift has 3. 2nd shift emp gadgets = 3* (2/3 as they produce 2/3 as many gadgets as 1st shift) = 2 1st shift emp gadgets = 9*1 = 9 total fraction for 2nd shift = 2/11.
_________________
Veritas Prep  650 MGMAT 1 590 MGMAT 2 640 (V48/Q31)
Please help the community by giving Kudos.



Manager
Joined: 14 Jan 2013
Posts: 143
Concentration: Strategy, Technology
GMAT Date: 08012013
GPA: 3.7
WE: Consulting (Consulting)

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
31 Mar 2014, 04:02
seabhi wrote: Bunuel wrote: Mountain14 wrote: At a certain factory, each employee working the second shift produced 23 as many widgets as each employee working the first shift. If the first shift has 34 as many employees, what fraction of the total widgets did the second shift produce?[/color]
A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 PLEASE CHECK QUESTIONS WHEN POSTING. THANK YOU. At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce? A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 Pick some smart numbers: Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9; Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift employees would be 4*2=8; The ratio of the second shift production to the total is 8/(9+8)=8/17. Answer: A. This question is almost exact copy of the following OG question: Quote: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
(A) 1/2 (B) 2/5 (C) 3/5 (D) 4/5 (E) 5/8 Discussed here: ataloadingdockeachworkeronthenightcrewloaded128407.htmlHi Bunuel, Did not understand the method. Here is one method which I tried, but is not working. Please help. Picking smart numbers let the total number of employees be 12. 1st shift has 3/4 of the total hence 3/4*12 = 9 2nd shift has 3. 2nd shift emp gadgets = 3* (2/3 as they produce 2/3 as many gadgets as 1st shift) = 2 1st shift emp gadgets = 9*1 = 9 total fraction for 2nd shift = 2/11. This part is wrong. You have to multiply by 4/5 not 3/4
_________________
"Where are my Kudos" ............ Good Question = kudos
"Start enjoying all phases" & all Sections
__________________________________________________________________ http://gmatclub.com/forum/collectionofarticlesoncriticalreasoning159959.html
http://gmatclub.com/forum/percentages700800levelquestions130588.html
http://gmatclub.com/forum/700to800levelquantquestionwithdetailsoluition143321.html



Manager
Joined: 21 Aug 2013
Posts: 80

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
31 Mar 2014, 05:15
why should i multiply with 4/5. Please correct me if I am wrong.
_________________
Veritas Prep  650 MGMAT 1 590 MGMAT 2 640 (V48/Q31)
Please help the community by giving Kudos.



Manager
Joined: 14 Jan 2013
Posts: 143
Concentration: Strategy, Technology
GMAT Date: 08012013
GPA: 3.7
WE: Consulting (Consulting)

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
31 Mar 2014, 10:44
seabhi wrote: why should i multiply with 4/5. Please correct me if I am wrong. 3/4 as many boxes 4/5 as many workers So 12 should be multiplied with workers not boxes.... ~M14
_________________
"Where are my Kudos" ............ Good Question = kudos
"Start enjoying all phases" & all Sections
__________________________________________________________________ http://gmatclub.com/forum/collectionofarticlesoncriticalreasoning159959.html
http://gmatclub.com/forum/percentages700800levelquestions130588.html
http://gmatclub.com/forum/700to800levelquantquestionwithdetailsoluition143321.html



VP
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 1496

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
31 Mar 2014, 10:55
Assume that each employee working the first shift produces 3 widgets. Then each employee working the second shift will produce 2 widgets. Assume that there are 100 second shift employees. Then there will be 75 first shift employees. So fraction of total widgets produced by the second shift = [100*2]/[(100*2)+(75*3)] = 200/425 = 8/17. (A) it is.
_________________
GyanOne  Top MBA Rankings and MBA Admissions Blog
Top MBA Admissions Consulting  Top MiM Admissions Consulting
Premium MBA Essay ReviewBest MBA Interview PreparationExclusive GMAT coaching
Get a FREE Detailed MBA Profile Evaluation  Call us now +91 98998 31738



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8527
Location: Pune, India

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
31 Mar 2014, 21:39
seabhi wrote: Picking smart numbers
let the total number of employees be 12.
1st shift has 3/4 of the total hence 3/4*12 = 9 2nd shift has 3.
2nd shift emp gadgets = 3* (2/3 as they produce 2/3 as many gadgets as 1st shift) = 2 1st shift emp gadgets = 9*1 = 9
total fraction for 2nd shift = 2/11. Your understanding of the question is not quite correct. "each employee working the second shift produced 2/3 as many widgets as each employee working the first shift" This does not mean that employees of second shift produced 2/3 of the total widgets produced. It means that each employee of second shift produced 2/3 of the widgets produced by each employee of the first shift. If each first shift employee produced 3 widgets, each second shift employee produced 2 widgets (2/3rd of 3). "If the first shift has 3/4 as many employees" This does not mean that the first shift has 3/4 the total number of employees. It means that the first shift has 3/4 of the number of employees in the second shift. i.e. if the second shift has 4 employees, the first shift has only 3 (which is 3/4th of 4) Assuming these numbers, first shift has 3 employees producing 3 widgets each i.e. total 9 widgets. Second shift has 4 employees producing 2 widgets each i.e. total 8 widgets. Fraction of total widgets produced by the second shift = 8/(9+8) = 8/17
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!



Manager
Joined: 08 Sep 2010
Posts: 61

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
23 Apr 2014, 07:03
My Approach:
Let the number of employees work in the second shift be "x" and the number of widgets produced in 1st shift be w. Now first shift workers produced > 3x/4 * w widgets = 3xw/4 Second shift workers produced > x * 2w/3 widgets = 2xw/3 widgets Total widgets produced = 3xw/4 + 2xw/3 = 17xw/12. Now the second shift workers produced 2xw/3 * 12/17xw fraction of total 17xw/12 widgets. This comes to 8/17.
Hence option A



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1827
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
23 Apr 2014, 23:22
.................. First Shift.................... Second Shift Widgets.........\(\frac{2w}{3} .......................... w\) Employees...... \(x ................................ \frac{3x}{4}\) Total.............. \(\frac{2wx}{3} ......................... \frac{3wx}{4}\) Total Widgets\(= \frac{17wx}{12}\) Fraction \(= \frac{\frac{2wx}{3}}{\frac{17wx}{12}}\) Answer \(= \frac{8}{17}\)
_________________
Kindly press "+1 Kudos" to appreciate



Intern
Joined: 21 Jan 2013
Posts: 3

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
01 May 2014, 10:28
No of widgets produced in 1st shift = X No of people in 1st shift = 3/4 Y
No of widgets produced in 2nd shift = 2/3 X No of people in 2nd shift = Y
Total no of widgets produced in 1st shift = 3/4 XY and total no of widgets produced in 2nd shift = 2/3 XY
Ratio asked = No of widgets produced in 2nd shift / total no of widgets produced = 8/17



Intern
Joined: 06 Dec 2013
Posts: 5

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
06 Jun 2014, 01:16
Hi! The wording of this question confused me and it resulted in the wrong answer. "If the first shift has 3/4 as many employees" I took as if it referred to the overall number of employees. So, if the number of employees is 4, than there are 3 employees working the first shift and 1 employee working the second.



Manager
Joined: 24 Oct 2013
Posts: 145
Location: Canada
WE: Design (Transportation)

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
22 Jun 2014, 16:57
Bunuel wrote: Mountain14 wrote: At a certain factory, each employee working the second shift produced 23 as many widgets as each employee working the first shift. If the first shift has 34 as many employees, what fraction of the total widgets did the second shift produce?[/color]
A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 PLEASE CHECK QUESTIONS WHEN POSTING. THANK YOU. At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce? A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 Pick some smart numbers: Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9; Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift employees would be 4*2=8; The ratio of the second shift production to the total is 8/(9+8)=8/17. Answer: A. This question is almost exact copy of the following OG question: Quote: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
(A) 1/2 (B) 2/5 (C) 3/5 (D) 4/5 (E) 5/8 Discussed here: ataloadingdockeachworkeronthenightcrewloaded128407.htmlBunuel, The OG questions specifically states 'If the night crew has 4/5 as many workers as the day crew' whereas this verities prep questions says 'If the first shift has 3/4 as many employees' makes it confusing. 3/4 as many as TOTAL EMPLOYEES or SECOND SHIFT EMPLOYEES? Don't you think so too?



Intern
Joined: 14 Dec 2011
Posts: 16
Location: India
Concentration: Technology, Nonprofit
GMAT 1: 640 Q48 V29 GMAT 2: 660 Q45 V35
GPA: 3.5
WE: Information Technology (Computer Software)

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
12 Jul 2014, 09:05
Mountain14 wrote: At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 Not sure if this is shortest way to solve this question but it worked for me within 45 seconds: 1st shift emp = x widgets, 2nd shift em = 2/3*x widgets 2nd shift= n emp's, 1st shift = 3/4*n emp's total widgets (1st shift) = 3/4*n*x, total widgets (2nd shift)  2/3*n*x Total widget (both shifts) = (3/4+2/3)*n*x=17/12*n*x total widgets (2nd shift) = (2/3*n*x)/(17/12*n*x) = 8/17



Manager
Joined: 06 Aug 2013
Posts: 75

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
18 Oct 2014, 12:44
Bunuel wrote: Mountain14 wrote: At a certain factory, each employee working the second shift produced 23 as many widgets as each employee working the first shift. If the first shift has 34 as many employees, what fraction of the total widgets did the second shift produce?[/color]
A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 PLEASE CHECK QUESTIONS WHEN POSTING. THANK YOU. At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce? A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 Pick some smart numbers: Let the first shift have 3 employee and each produce 3 widgets, so the total number of widgets produced by the first shift is 3*3=9; Then the second shift would have 4 employees and each second shift employee would produce 3*2/3=2 widgets, so the total number of widgets produced by the second shift employees would be 4*2=8; The ratio of the second shift production to the total is 8/(9+8)=8/17. Answer: A. This question is almost exact copy of the following OG question: Quote: At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 4/5 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
(A) 1/2 (B) 2/5 (C) 3/5 (D) 4/5 (E) 5/8 Discussed here: ataloadingdockeachworkeronthenightcrewloaded128407.htmlexactly bunuel, i thought something was amiss too, because when we dont know how many employees were present in the second half, how can we come to a conclusion. I spent 5 mins solving this because once i tried with 1/4 remaining employees and once with all the employees.



Intern
Joined: 06 Jun 2011
Posts: 22

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
27 Oct 2014, 02:19
I prefer the tabular form for such question ( might be useful for some).
emp widget widget / employee 1st shift 3e/4 w 4w/3e 2nd shift e x 8w/9e
thus x = emp * widget/employee = 8w/9
ratio of x/w+x = (8w/9) / w + (8w/9) = 8/17



Intern
Joined: 03 Aug 2018
Posts: 18
Location: India
Concentration: Finance, General Management
Schools: CBS '21, Tepper '21 (S), KenanFlagler '21 (S), ISB '20, UC Davis '21, Mendoza '21 (S), IIMA PGPX"20, Smith '21 (II), ESADE '21, Broad '21 (II), Carlson '21 (II), Arizona State'21 (I)
GPA: 3.69
WE: Consulting (Energy and Utilities)

Re: At a certain factory, each employee working the second shift
[#permalink]
Show Tags
07 Aug 2018, 11:05
HarveyS wrote: At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?
A. 8/17 B. 1/2 C. 8/9 D. 9/8 E. 17/8 If you are running short on time and have to guess the answer, look for options. Here option D and E and easily be eliminated. As the widgets produced by 2nd shift employee is 2/3 and there are just 1/4th more employees in 2nd shift the no. of widgets produced must be less than those produced in 1st shift. So thus we can eliminated option B and C, which leaves us with one correct answer  Option A




Re: At a certain factory, each employee working the second shift &nbs
[#permalink]
07 Aug 2018, 11:05






