Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 47903

It takes 3 employees, who all work at the same rate, 5 hours to comple
[#permalink]
Show Tags
11 Apr 2017, 22:58
Question Stats:
87% (01:22) correct 13% (01:32) wrong based on 103 sessions
HideShow timer Statistics



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, 23:44
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: 12 Sep 2015
Posts: 2699
Location: Canada

Re: It takes 3 employees, who all work at the same rate, 5 hours to comple
[#permalink]
Show Tags
12 Apr 2017, 05:39
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 documentSo, a 3person 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 3person team will take 7.5 hours to type 750 pages. What happens if we double the size of the team and make it a 6person team? Well, doubling the size of the team, will cut the work time in HALF. That is, a 6person team will take 3.75 hours to type 750 pages. Answer: Cheers, Brent
_________________
Brent Hanneson – Founder of gmatprepnow.com



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3161
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, 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 WoodburyStewart
Founder and CEO
GMAT Quant SelfStudy Course
500+ lessons 3000+ practice problems 800+ HD solutions



Senior Manager
Joined: 06 Dec 2016
Posts: 251

Re: It takes 3 employees, who all work at the same rate, 5 hours to comple
[#permalink]
Show Tags
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



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12175
Location: United States (CA)

Re: It takes 3 employees, who all work at the same rate, 5 hours to comple
[#permalink]
Show Tags
20 Nov 2017, 17:30
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
CoFounder & 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
Joined: 22 May 2016
Posts: 1902

It takes 3 employees, who all work at the same rate, 5 hours to comple
[#permalink]
Show Tags
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 &nbs
[#permalink]
21 Nov 2017, 09:38






