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

 It is currently 13 Nov 2018, 08:10

### 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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Essential GMAT Time-Management Hacks

November 14, 2018

November 14, 2018

07:00 PM PST

08:00 PM PST

Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
• ### $450 Tuition Credit & Official CAT Packs FREE 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) # 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 Math Expert Joined: 02 Sep 2009 Posts: 50570 It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink] ### Show Tags 11 Apr 2017, 21:58 00:00 Difficulty: 5% (low) Question Stats: 87% (01:44) correct 13% (01:43) wrong based on 105 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 _________________ Intern 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 11 Apr 2017, 22:44 1 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). CEO Joined: 11 Sep 2015 Posts: 3111 Location: Canada Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink] ### Show Tags 12 Apr 2017, 04:39 1 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: Cheers, Brent _________________ Brent Hanneson – GMATPrepNow.com Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 4155 Location: United States (CA) Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink] ### Show Tags 19 Apr 2017, 14:54 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 Joined: 06 Dec 2016 Posts: 250 Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink] ### Show Tags 19 Apr 2017, 18:23 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 EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 12844 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: It takes 3 employees, who all work at the same rate, 5 hours to comple [#permalink] ### Show Tags 20 Nov 2017, 16:30 1 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: 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!*****

Senior SC Moderator
Joined: 22 May 2016
Posts: 2086
It takes 3 employees, who all work at the same rate, 5 hours to comple  [#permalink]

### Show Tags

21 Nov 2017, 08:38
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

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

$$^{2}t = \frac{W}{(No.Workers * r)}$$
It takes 3 employees, who all work at the same rate, 5 hours to comple &nbs [#permalink] 21 Nov 2017, 08:38
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

 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®.