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

It is currently 15 Aug 2018, 05:53

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

Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47918
Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.  [#permalink]

Show Tags

New post 10 May 2018, 01:29
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

90% (01:30) correct 10% (04:55) wrong based on 59 sessions

HideShow timer Statistics

Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes. How many minutes would it take 27 workers to pack 180 boxes, if all workers work at the same constant rate?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16

_________________

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

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1888
Re: Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.  [#permalink]

Show Tags

New post 10 May 2018, 02:09

Solution



Given:
• 12 workers pack boxes at a constant rate of 60 boxes in 9 minutes
• All workers work at the same constant rate

To find:
• How many minutes would 27 workers take to pack 180 boxes

Approach and Working:
• 12 workers pack 60 boxes in 9 minutes
    Or, 12 workers pack 1 box in \(\frac{9}{60}\) minutes
    Or, 1 worker packs 1 box in \(\frac{9}{60}\) * 12 minutes
    Or, 27 workers pack 1 box in \(\frac{9}{60} * 12 * \frac{1}{27}\) minutes
    Or, 27 workers pack 180 boxes in \(\frac{9}{60} * 12 * \frac{1}{27}\) * 180 minutes = 12 minutes

Hence, the correct answer is option A.

Answer: A
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3032
Location: India
GPA: 3.12
Premium Member
Re: Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.  [#permalink]

Show Tags

New post 10 May 2018, 02:23
2
Bunuel wrote:
Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes. How many minutes would it take 27 workers to pack 180 boxes, if all workers work at the same constant rate?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16


Since 12 workers take 9 minutes to pack 60 boxes,
27 workers(which is \(\frac{9}{4}\) times the workers) take 9 minutes to pack \(\frac{9}{4}*60 = 135\) boxes.

Now, we know that 27 workers pack 135 boxes in 9 minutes.

In order to pack 180 boxes, they would need \(\frac{180}{135}*9 = \frac{4}{3}*9 = 12\) minutes.

Therefore, the workers(working at the same constant rate) take 12 minutes(Option A) to pack 180 boxes.
_________________

You've got what it takes, but it will take everything you've got

VP
VP
User avatar
D
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1212
Location: India
Concentration: International Business, Operations
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Premium Member Reviews Badge CAT Tests
Re: Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.  [#permalink]

Show Tags

New post 10 May 2018, 03:26
2
Bunuel wrote:
Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes. How many minutes would it take 27 workers to pack 180 boxes, if all workers work at the same constant rate?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16


Rate of 12 workers = 60/9 boxes / minutes

Rate of 1 worker = (60/9) * (1/12 ) = 5/9 boxes / minutes

Rate of 27 workers = 5/9 * 27 = 15 boxes / minutes

So, to pack 180 boxes time taken = 180/15 = 12 minutes

(A)
_________________

"Do not watch clock; Do what it does. KEEP GOING."

Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3161
Location: United States (CA)
Re: Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.  [#permalink]

Show Tags

New post 13 May 2018, 17:57
Bunuel wrote:
Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes. How many minutes would it take 27 workers to pack 180 boxes, if all workers work at the same constant rate?

(A) 12
(B) 13
(C) 14
(D) 15
(E) 16


The rate of 12 workers is 60/9 = 20/3.

We can let n = the rate of 27 workers and create the proportion:

12/(20/3) = 27/n

36/20 = 27/n

9/5 = 27/n

9n = 5 x 27

n = 15

So it will take 27 workers 180/15 = 12 minutes to pack all the boxes.

Alternate Solution:

Since twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes, it will take them 9 x 3 = 27 minutes to pack 180 boxes.

Since the number of minutes to pack 180 boxes will decrease as the number of workers increases, we can set up an inverse proportion to determine how much time it will take 27 workers to pack 180 boxes. Let t denote the time, in minutes, required for 27 workers to pack 180 boxes.

(12)(27) = (27)(t)

t = 12

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Director
Director
avatar
G
Joined: 02 Oct 2017
Posts: 616
Re: Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.  [#permalink]

Show Tags

New post 26 May 2018, 07:29
Simple formula. An find answer for this problem

(Men1 *Time1)/work1 = (Men2 * Time2)/work2

As per question

12*9/60 = 27* time/180

Time=12

Give kudos if it helps

Posted from my mobile device
Senior Manager
Senior Manager
User avatar
P
Joined: 12 Feb 2015
Posts: 370
Premium Member CAT Tests
Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.  [#permalink]

Show Tags

New post 26 May 2018, 07:51
Your approach is nice but I feel flipping the ratio on both sides will make it easy to understand the logic:-

work1/(Men1 *Time1) = work2/(Men2 * Time2)

i.e. rate of work is equal. Work done upon time taken in minutes (i.e. no. of boxes packed upon total time in minutes)

60 boxes packed/(12 men*9 minutes) = 180 boxes packed/(27 men* total time in minutes for work 2)

total time in minutes for work 2 = 12 minutes.

PS: For computing speed the formula is distance traveled upon time taken. We could compare reciprocals of constant speed to determine the time taken but why not compare the equate constant speed for earlier interpretation.

push12345 wrote:
Simple formula. An find answer for this problem

(Men1 *Time1)/work1 = (Men2 * Time2)/work2

As per question

12*9/60 = 27* time/180

Time=12

Give kudos if it helps

Posted from my mobile device

_________________

"Please hit :thumbup: +1 Kudos if you like this post" :student_man:

_________________
Manish :geek:

"Only I can change my life. No one can do it for me"

Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes. &nbs [#permalink] 26 May 2018, 07:51
Display posts from previous: Sort by

Twelve workers pack boxes at a constant rate of 60 boxes in 9 minutes.

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

Events & Promotions

PREV
NEXT


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®.