December 11, 2018 December 11, 2018 09:00 PM EST 10:00 PM EST Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST. December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 06 Jul 2011
Posts: 95

If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
10 Sep 2012, 16:06
Question Stats:
66% (01:02) correct 34% (01:13) wrong based on 599 sessions
HideShow timer Statistics
If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes? A. 3 B. 4 C. 6 D. 12 E. 36 Could anyone plz explain a robust approach to solve above mentioned problem.I mostly get confused in RT=W probs.Thanks!
Official Answer and Stats are available only to registered users. Register/ Login.




Math Expert
Joined: 02 Sep 2009
Posts: 51100

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
11 Sep 2012, 01:31




Director
Status: Tutor  BrushMyQuant
Joined: 05 Apr 2011
Posts: 610
Location: India
Concentration: Finance, Marketing
GPA: 3
WE: Information Technology (Computer Software)

Re: Approach to solve Rate,Time work problems
[#permalink]
Show Tags
10 Sep 2012, 20:47
If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes? 3 4 6 12 36 Suppose rate of each typist is R So rate of two typist will be 2R time = 2mins work = 2pages using : Rate * Time = Work ,we have: 2R * 2 = 2 => R = 0.5 pages/min Suppose x number of typist are required to finish 18pages in 6mins So, rate of R typist will be xR Time = 6mins work = 18pages Using Rate*time= work we have xR * 6 = 18 => xR = 3 we know that R =0.5 => x = 6 So, answer will be C Hope it helps!
_________________
Ankit
Check my Tutoring Site > Brush My Quant
GMAT Quant Tutor How to start GMAT preparations? How to Improve Quant Score? Gmatclub Topic Tags Check out my GMAT debrief
How to Solve : Statistics  Reflection of a line  Remainder Problems  Inequalities




Director
Joined: 22 Mar 2011
Posts: 600
WE: Science (Education)

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
11 Sep 2012, 04:38
arkle wrote: If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes?
A. 3 B. 4 C. 6 D. 12 E. 36
Could anyone plz explain a robust approach to solve above mentioned problem.I mostly get confused in RT=W probs.Thanks! 2 typists 2 pages 2 minutes 2 typists 2*9=18 pages 2*9=18 minutes (9 times more pages, 9 times more time) 2*3= 6 typists 18 pages 18/3=6 minutes (need 3 times faster, should increase number of typists by the same factor 3) Answer C This question is about direct and inverse proportionality. RxT=W (rate x time = work) If work is constant, then R and T are inversely proportional, meaning if R increases, T decreases and viceversa. If R is constant, then T and W are directly proportional, meaning if T increase, W increases (more time, more job done). If T is constant, then R and W are again directly proportional, meaning if R increases, W increases (faster rate, more job done). In the above approach, first if we increase the number of pages (more work must be done), but we stay with the same number of typists, we need proportionally more time. Here, time and work are directly proportional. Then, for the same number of pages (same work), if we want the job done faster, we need more typists. Now, number of typists and time are inversely proportional. This type of question reminds me of a homework that would upset many parents (lamenting that this is insane ): If one and a half chicken lay in a day and half one egg and a half, how many eggs will lay three chicken in three days? Who heard of half chickens laying half eggs...those math teachers gone mad!!!
_________________
PhD in Applied Mathematics Love GMAT Quant questions and running.



Senior Manager
Joined: 13 Aug 2012
Posts: 429
Concentration: Marketing, Finance
GPA: 3.23

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
15 Nov 2012, 00:31
Let the individual rate of each typist be=\(\frac{1}{t}\) Using the Rate equation Rt=W we can calculate their rates: \((\frac{1}{m}+\frac{1}{m})(2 minutes)=2pages==>\frac{2}{m}=\frac{2pages}{2minutes}==>m=2minutes\) Thus, the individual rate of each typist =\(\frac{1page}{2minutes}\) Now let's calculate the number of typists needed to work for 6 minutes to make 18 pages. \(\frac{N}{2minutes}(6min)=18pages==>N=\frac{18}{3}=6\) Answer: C
_________________
Impossible is nothing to God.



Intern
Joined: 08 Dec 2012
Posts: 7
Location: United States
Concentration: Finance, Strategy
GPA: 3.71
WE: Sales (Energy and Utilities)

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
21 Feb 2013, 20:47
To handle this type of problem efficiently I like to extend the R(T)=W formula ==> to #RT=W where # is number of people and RTW is still Rate, Time, Work. So for this problem:
Solve for R first #=2 typists R=? T=2 minutes W=2 pages
#RT=W==>2(R)(2)=2==>4(R)=2 divide both sides by 4 to get R=2/4 which is of course R=1/2. Now you have the rate PER TYPIST.
Now solve the rest of the question the same way to get # #=? R=1/2 T=6 minutes W=18 pages
#RT=W==>#(1/2)(6)=18==>#(3)=18 divide both sides by 3 and you get #=6. So 6 is the number of typists it will take to accomplish 18 pages in 6 minutes. Hope it helps.



Intern
Joined: 16 Jan 2013
Posts: 22

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
22 Feb 2013, 02:02
More the no. of pages, more the no. of typist required. more the minutes available, lesser the no. of typist required. therefore, no. of typist is directly proportional to the no. of pages and inversely proportional to the no. of minutes Hence, No of typist = 2x(18/2)x(2/6) = 6



Intern
Joined: 20 Feb 2013
Posts: 20

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
22 Feb 2013, 02:15
If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes? A. 3 B. 4 C. 6 D. 12 E. 36 In 2 minutes 2 typists type 2 pages which means that in 6 minutes they will type 6 pages but to type 18 pages (3 times) we need 3 times more typists i.e. 2 x 3 = 6 typists. OR (A more structured approach) 2 Typists  2 pages  2 minutes 2 Typist  1 page  1 minutes 1 Typist  1/2 page  1 minute 1 Typist  3 pages  6 minutes 6 Typists  18 pages  6 minutes OR
_________________
Pushpinder Gill



Intern
Joined: 24 Sep 2012
Posts: 35

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
24 Feb 2013, 02:17
Bunuel wrote: arkle wrote: Since two typists can type two pages in two minutes, then one typists can type two pages in four minutes,
Hi Bunuel, Can we conclude that the efficiency of both typists are same? Regards, Pritish



Intern
Joined: 24 Sep 2012
Posts: 35

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
24 Feb 2013, 03:32
Yes is clear. Thank you!



Intern
Joined: 20 Feb 2013
Posts: 20

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
24 Feb 2013, 06:41
pritish2301 wrote: Bunuel wrote: arkle wrote: Since two typists can type two pages in two minutes, then one typists can type two pages in four minutes,
Hi Bunuel, Can we conclude that the efficiency of both typists are same? Regards, Pritish Yes you can assume both the typists to be equally efficient.
_________________
Pushpinder Gill



Manager
Joined: 03 Jan 2015
Posts: 61
Concentration: Strategy, Marketing
WE: Research (Pharmaceuticals and Biotech)

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
22 Jan 2015, 08:18
If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes?
A. 3 B. 4 C. 6 D. 12 E. 36
SOLUTION:
Work = Rate*Time 2 pages = R*2 min i.e. R = 1 page/min for 2 typist  (i)
18 pages = R*6 min i.e. R = 3 pages/min for N typists  (ii)
Eq.(ii) = 3*(i) i.e. N typists are 3x faster than 2 typists. Therefore N = 2*3 = 6 typists
ANSWER: c



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
29 Jan 2015, 00:23
Rate per typist per page \(= \frac{2}{2*2} = \frac{1}{2}\) Rate ............... No. of typists .............. Time ............ Pages(Work done) \(\frac{1}{2}\) ..................... x ........................... 6 ................... 18 \(x = \frac{18}{6} * 2 = 6\) Answer = C = 6
_________________
Kindly press "+1 Kudos" to appreciate



Manager
Joined: 19 Jul 2017
Posts: 85
Location: India
Concentration: General Management, Strategy
GPA: 3.5

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
06 Sep 2017, 20:16
arkle wrote: If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes?
A. 3 B. 4 C. 6 D. 12 E. 36
Could anyone plz explain a robust approach to solve above mentioned problem.I mostly get confused in RT=W probs.Thanks! Including the number of ppl in the RT equation Given 2*R*2 = 2; so R=1/2; Now N*1/2*6=18; N=18/3 = 6 So Ans:C



Manager
Joined: 22 Nov 2016
Posts: 211
Location: United States
Concentration: Leadership, Strategy
GPA: 3.4

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
09 Nov 2017, 20:11
2 typists  2 pages  2 mins 1 typist  1 page  2 mins 1 typist  1/2 page 1 min W = 18 ; T=6, R=x*1/2 (x is the number of typists needed to type at a rate of 1/2) W=RT x=3
_________________
Kudosity killed the cat but your kudos can save it.



Manager
Joined: 03 May 2014
Posts: 160
Location: India
WE: Sales (Mutual Funds and Brokerage)

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
09 Nov 2017, 20:19
or use the formula M1XT1/J1=M2XT2/J2
M1=manpower=2 T1=time=2mins J1=Job=2 pages
M2=? T1=6mins J1=18 pages
2X2/2=M1X6/18=6 Ans=c



NonHuman User
Joined: 09 Sep 2013
Posts: 9116

Re: If two typists can type two pages in two minutes, how many t
[#permalink]
Show Tags
01 Dec 2018, 09:53
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: If two typists can type two pages in two minutes, how many t &nbs
[#permalink]
01 Dec 2018, 09:53






