Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Jul 2014, 06:38

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If two typists can type two pages in two minutes, how many t

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Manager
Manager
avatar
Joined: 06 Jul 2011
Posts: 60
Followers: 0

Kudos [?]: 7 [1] , given: 27

If two typists can type two pages in two minutes, how many t [#permalink] New post 10 Sep 2012, 16:06
1
This post received
KUDOS
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

63% (01:48) correct 37% (01:05) wrong based on 171 sessions
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!
[Reveal] Spoiler: OA
1 KUDOS received
BSchool Thread Master
User avatar
Status: If you think you can, then eventually you WILL!
Joined: 05 Apr 2011
Posts: 399
Location: India
Concentration: Finance, Marketing
Schools: ISB '14 (D)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 55

Kudos [?]: 213 [1] , given: 39

GMAT Tests User Premium Member
Re: Approach to solve Rate,Time work problems [#permalink] New post 10 Sep 2012, 20:47
1
This post received
KUDOS
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
you must believe

How to start GMAT preparations?
How to Improve Quant Score?
gmatclub topic tags
Check out my GMAT debrief
Thursdays with Ron link
Looking for a Quant tutor? Check out my post for the same!

Combined Formula Sheet :
Number Properties || Word Problems and PnC || Equations, Inequalities || Geometry

How to Solve :
Statistics || Reflection of a line || Remainder Problems

Expert Post
4 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18719
Followers: 3238

Kudos [?]: 22310 [4] , given: 2613

Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 11 Sep 2012, 01:31
4
This post received
KUDOS
Expert's post
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!


Since two typists can type two pages in two minutes, then one typists can type two pages in four minutes, which means that the rate of one typist is rate=\frac{job}{time}=\frac{2}{4}=\frac{1}{2} pages per minute.

Now, (combined rate of x typists)*(time)=(job) --> (\frac{1}{2}*x)*6=18 --> x=6.

Answer: C.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Director
Director
User avatar
Joined: 22 Mar 2011
Posts: 613
WE: Science (Education)
Followers: 65

Kudos [?]: 475 [0], given: 43

GMAT Tests User
Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 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 vice-versa.
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 home-work that would upset many parents (lamenting that this is insane :o):

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
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 14

Kudos [?]: 179 [0], given: 11

GMAT ToolKit User GMAT Tests User
Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 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
Intern
avatar
Joined: 08 Dec 2012
Posts: 7
Location: United States
Concentration: Finance, Strategy
GMAT 1: 760 Q48 V48
GPA: 3.71
WE: Sales (Energy and Utilities)
Followers: 0

Kudos [?]: 18 [0], given: 8

Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 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.
2 KUDOS received
Intern
Intern
avatar
Joined: 16 Jan 2013
Posts: 23
Followers: 0

Kudos [?]: 1 [2] , given: 17

Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 22 Feb 2013, 02:02
2
This post received
KUDOS
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
Intern
User avatar
Joined: 20 Feb 2013
Posts: 20
Followers: 1

Kudos [?]: 6 [0], given: 2

Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 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
Intern
avatar
Joined: 24 Sep 2012
Posts: 41
Followers: 0

Kudos [?]: 3 [0], given: 76

Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 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
Intern
avatar
Joined: 24 Sep 2012
Posts: 41
Followers: 0

Kudos [?]: 3 [0], given: 76

Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 24 Feb 2013, 03:32
Yes is clear. Thank you!
Intern
Intern
User avatar
Joined: 20 Feb 2013
Posts: 20
Followers: 1

Kudos [?]: 6 [0], given: 2

Re: If two typists can type two pages in two minutes, how many t [#permalink] New post 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

Re: If two typists can type two pages in two minutes, how many t   [#permalink] 24 Feb 2013, 06:41
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic If there are 4 seats and two students, in how many ways can manish2014 4 22 Apr 2014, 09:44
Two questions: How many questions can I excpect to see on GMATBLACKBELT 1 20 Aug 2007, 16:56
In how many ways can a person draw two cards at random from giddi77 7 04 Jan 2006, 01:30
3 typists working together can type 36 pages in 30 minutes. desiguy 5 07 Dec 2005, 06:29
In how many ways can 8 boys be divided into two sets sandman 2 25 Nov 2005, 16:25
Display posts from previous: Sort by

If two typists can type two pages in two minutes, how many t

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.