GMAT Changed on April 16th - Read about the latest changes here

It is currently 26 Apr 2018, 23:45

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

Events & Promotions in June
Open Detailed Calendar

It takes 3 employees, who all work at the same rate, 5 hours to comple

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44657
It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink]

Show Tags

New post 11 Apr 2017, 22:58
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (01:23) correct 12% (01:32) wrong based on 100 sessions

HideShow timer Statistics

It takes 3 employees, who all work at the same rate, 5 hours to complete the typing of a 500 page document. How long would it take 6 similar employees to complete a document with 750 pages?

A. 1.25
B. 2.5
C. 3.75
D. 5.5
E. 7.5
[Reveal] Spoiler: OA

_________________

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

1 KUDOS received
Intern
Intern
avatar
Joined: 15 Sep 2016
Posts: 6
Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink]

Show Tags

New post 11 Apr 2017, 23:44
1
This post received
KUDOS
Given that, 3 employees in 5hrs type 500 pages.
So, in 1 hr they will type 500/5 = 100 pages.

Now if 3 employees in 1hr type 100 pages.
then 6 employees in 1hr will type (100x6)/3 = 200 pages.

200 pages are printed in 1hr, then 750 pages will get printed in 750/200 = 3.75hrs.

Answer should be (C).
Expert Post
Top Contributor
1 KUDOS received
SVP
SVP
User avatar
P
Joined: 12 Sep 2015
Posts: 2325
Location: Canada
Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink]

Show Tags

New post 12 Apr 2017, 05:39
1
This post received
KUDOS
Expert's post
Top Contributor
Bunuel wrote:
It takes 3 employees, who all work at the same rate, 5 hours to complete the typing of a 500 page document. How long would it take 6 similar employees to complete a document with 750 pages?

A. 1.25
B. 2.5
C. 3.75
D. 5.5
E. 7.5


We can solve this question by using some logic.

It takes 3 employees, who all work at the same rate, 5 hours to complete the typing of a 500 page document
So, a 3-person team takes 5 hours to type 500 pages.
What if we increase the job by 50% and make it 750 pages?
Well, it will take 50% longer to complete that job.
That is, a 3-person team will take 7.5 hours to type 750 pages.
What happens if we double the size of the team and make it a 6-person team?
Well, doubling the size of the team, will cut the work time in HALF.
That is, a 6-person team will take 3.75 hours to type 750 pages.

Answer:
[Reveal] Spoiler:
C


Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Expert Post
Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2493
Location: United States (CA)
Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink]

Show Tags

New post 19 Apr 2017, 15:54
Bunuel wrote:
It takes 3 employees, who all work at the same rate, 5 hours to complete the typing of a 500 page document. How long would it take 6 similar employees to complete a document with 750 pages?

A. 1.25
B. 2.5
C. 3.75
D. 5.5
E. 7.5


We are given that 3 employees, who all work at the same rate, can type 500 pages in 5 hours.

So, the rate of the 3 employees is 500/5 = 100 pages per hour. Let’s use a proportion to determine x, the rate of the 6 employees.

3/100 = 6/x

3x = 600

x = 200

Since time = work/rate, it takes 6 workers 750/200 = 3.75 hours to complete 750 pages.

Answer: C
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Senior Manager
Senior Manager
avatar
B
Joined: 06 Dec 2016
Posts: 253
Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink]

Show Tags

New post 19 Apr 2017, 19:23
3 employees => 5 hrs => 500 pages
6 employees => 2.5 hrs => 500 pages
6 employees => ? hrs => 750 pages

work = rate x time
500 = r x 2.5
r = 200

work = rate x time
750 = 200 x t
t = 3.75

Which is answer C
Expert Post
1 KUDOS received
EMPOWERgmat Instructor
User avatar
D
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 11518
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink]

Show Tags

New post 20 Nov 2017, 17:30
1
This post received
KUDOS
Expert's post
Hi All,

We're told that it takes 3 employees, who all work at the same rate, 5 hours to complete the typing of a 500 page document. We're asked how long it would take 6 similar employees to complete a document that is 750 pages. The answer choices are 'spread out enough' that you can actually answer this question without doing too much math - you just need a little logic and a couple of 'comparisons.'

IF.... we were just doubling the number of employees, then the original job would take HALF of the time (2.5 hours instead of the original 5 hours). We're not doing the original job though - we're doing MORE work - so the time needed has to be GREATER than 2.5 hours.

Since we're doubling the number of employees, but we're NOT doubling the number of pages (that number is only increased by 50%), we know that the total amount of time would have to be LESS than 5 hours.

There's only one answer that falls in that range....

Final Answer:
[Reveal] Spoiler:
C


GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free
  Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

SC Moderator
avatar
D
Joined: 22 May 2016
Posts: 1576
Premium Member CAT Tests
It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink]

Show Tags

New post 21 Nov 2017, 09:38
Bunuel wrote:
It takes 3 employees, who all work at the same rate, 5 hours to complete the typing of a 500 page document. How long would it take 6 similar employees to complete a document with 750 pages?

A. 1.25
B. 2.5
C. 3.75
D. 5.5
E. 7.5

(# of workers) * (rate) * (time) = Work

(Simply add one extra column, number of workers, to standard RTW table. Manipulate it the same way as RT = W.)

Individual worker rate, r?

(# of workers) * (rate) * (time) = Work\(^{1}\)

(3) * (r?) * (5) = 500

r = \(\frac{500}{(3*5)}=\frac{500}{15}=\frac{100}{3}\)

Use that rate to find time in the second scenario: At that rate, how much time will it take 6 workers to type 750 pages?

(# of workers) * (rate) * (time) = Work\(^{2}\)

6 * \((\frac{100}{3}\)) * (t?) = 750

t = \(\frac{750}{(\frac{600}{3})}=\frac{750}{200}=\frac{15}{4}=3.75 hrs\)

Answer C

What follows is just manipulation of equation

\(^{1} r =\frac{W}{(No.Workers*t)}\)

\(^{2}t = \frac{W}{(No.Workers * r)}\)

_________________

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

-- Albert Camus, "Return to Tipasa"

It takes 3 employees, who all work at the same rate, 5 hours to comple   [#permalink] 21 Nov 2017, 09:38
Display posts from previous: Sort by

It takes 3 employees, who all work at the same rate, 5 hours to comple

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.