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

It is currently 19 Nov 2018, 03:58

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 in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • How to QUICKLY Solve GMAT Questions - GMAT Club Chat

     November 20, 2018

     November 20, 2018

     09:00 AM PST

     10:00 AM PST

    The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
  • The winning strategy for 700+ on the GMAT

     November 20, 2018

     November 20, 2018

     06:00 PM EST

     07:00 PM EST

    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.

Allegra and Graham edited a 72-page manuscript together, each of them

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

Hide Tags

Current Student
avatar
B
Joined: 22 Sep 2016
Posts: 179
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Allegra and Graham edited a 72-page manuscript together, each of them  [#permalink]

Show Tags

New post 30 Jul 2017, 02:01
1
11
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

66% (02:18) correct 34% (02:46) wrong based on 134 sessions

HideShow timer Statistics

Allegra and Graham edited a 72-page manuscript together, each of them working alone at a constant rate. Graham spent twice as much time editing the manuscript as did Allegra, but Allegra edited two more pages per hour than did Graham. If the total time they spent editing the manuscript was 27 hours, how many pages did Allegra edit per hour?

A. 7
B. 6
C. 5
D. 4
E. 3

_________________

Desperately need 'KUDOS' !!

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7037
Allegra and Graham edited a 72-page manuscript together, each of them  [#permalink]

Show Tags

New post 30 Jul 2017, 02:39
6
rekhabishop wrote:
Allegra and Graham edited a 72-page manuscript together, each of them working alone at a constant rate. Graham spent twice as much time editing the manuscript as did Allegra, but Allegra edited two more pages per hour than did Graham. If the total time they spent editing the manuscript was 27 hours, how many pages did Allegra edit per hour?

A. 7
B. 6
C. 5
D. 4
E. 3



Hi...

You don't have to get into substitution, the simpler way could be...
1) TIME
A does it for t hrs, so G does it for 2t hrs..
So \(t+2t=27..... t=9\)

2) PAGES
Now let G do x pages per hour, so A does x+2 pages per hour..
So \(x*18+(x+2)*9=72.....18x+9x+18=72......x=2\)

So G does 2 pages per hour and A does 2+2=4 pages per hour

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

General Discussion
Current Student
avatar
B
Joined: 22 Sep 2016
Posts: 179
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Re: Allegra and Graham edited a 72-page manuscript together, each of them  [#permalink]

Show Tags

New post 30 Jul 2017, 02:03
2
The OE suggests that we plug in values, but I want a logical explanation/approach towards this question.
OE is as below
A. No. If the total time they spent editing was 27 hours, and Graham spent twice as much time (2t) as did Allegra (t), then the total time can be written as 3t = 27. So t = 9. Thus, he spent 18 hours, and she spent 9 hours. Now plug in the answers, starting with answer choice (C). If Allegra edited 5 pages per hour, then Graham edited 3 pages per hour. Use RT = D. So Allegra edited (5)(9) = 45 pages, and Graham edited (18)(3) = 54 pages, for a total of 99 pages, which is too big. Now try something smaller, like choice (D): Allegra edited 4 pages per hour, and Graham edited 2 pages per hour. So she edited (4)(9) = 36 pages, and he edited (2)(18) = 36 pages, for a total of 72 pages, which is what you want. The correct answer is D.

B. No. If the total time they spent editing was 27 hours, and Graham spent twice as much time (2t) as did Allegra (t), then the total time can be written as 3t = 27. So t = 9. Thus, he spent 18 hours, and she spent 9 hours. Now plug in the answers, starting with answer choice (C). If Allegra edited 5 pages per hour, then Graham edited 3 pages per hour. Use RT = D. So Allegra edited (5)(9) = 45 pages, and Graham edited (18)(3) = 54 pages, for a total of 99 pages, which is too big. Now try something smaller, like choice (D): Allegra edited 4 pages per hour, and Graham edited 2 pages per hour. So she edited (4)(9) = 36 pages, and he edited (2)(18) = 36 pages, for a total of 72 pages, which is what you want. The correct answer is D.

C. No. If the total time they spent editing was 27 hours, and Graham spent twice as much time (2t) as did Allegra (t), then the total time can be written as 3t = 27. So t = 9. Thus, he spent 18 hours, and she spent 9 hours. Now plug in the answers, starting with answer choice (C). If Allegra edited 5 pages per hour, then Graham edited 3 pages per hour. Use RT = D. So Allegra edited (5)(9) = 45 pages, and Graham edited (18)(3) = 54 pages, for a total of 99 pages, which is too big. Now try something smaller, like choice (D): Allegra edited 4 pages per hour, and Graham edited 2 pages per hour. So she edited (4)(9) = 36 pages, and he edited (2)(18) = 36 pages, for a total of 72 pages, which is what you want. The correct answer is D.

D. Yes. If the total time they spent editing was 27 hours, and Graham spent twice as much time (2t) as did Allegra (t), then the total time can be written as 3t = 27. So t = 9. Thus, he spent 18 hours, and she spent 9 hours. Now plug in the answers, starting with answer choice (C). If Allegra edited 5 pages per hour, then Graham edited 3 pages per hour. Use RT = D. So Allegra edited (5)(9) = 45 pages, and Graham edited (18)(3) = 54 pages, for a total of 99 pages, which is too big. Now try something smaller, like choice (D): Allegra edited 4 pages per hour, and Graham edited 2 pages per hour. So she edited (4)(9) = 36 pages, and he edited (2)(18) = 36 pages, for a total of 72 pages, which is what you want. The correct answer is D.

E. No. If the total time they spent editing was 27 hours, and Graham spent twice as much time (2t) as did Allegra (t), then the total time can be written as 3t = 27. So t = 9. Thus, he spent 18 hours, and she spent 9 hours. Now plug in the answers, starting with answer choice (C). If Allegra edited 5 pages per hour, then Graham edited 3 pages per hour. Use RT = D. So Allegra edited (5)(9) = 45 pages, and Graham edited (18)(3) = 54 pages, for a total of 99 pages, which is too big. Now try something smaller, like choice (D): Allegra edited 4 pages per hour, and Graham edited 2 pages per hour. So she edited (4)(9) = 36 pages, and he edited (2)(18) = 36 pages, for a total of 72 pages, which is what you want. The correct answer is D.
_________________

Desperately need 'KUDOS' !!

Current Student
avatar
B
Joined: 22 Sep 2016
Posts: 179
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Re: Allegra and Graham edited a 72-page manuscript together, each of them  [#permalink]

Show Tags

New post 30 Jul 2017, 05:11
chetan2u wrote:
rekhabishop wrote:
Allegra and Graham edited a 72-page manuscript together, each of them working alone at a constant rate. Graham spent twice as much time editing the manuscript as did Allegra, but Allegra edited two more pages per hour than did Graham. If the total time they spent editing the manuscript was 27 hours, how many pages did Allegra edit per hour?

A. 7
B. 6
C. 5
D. 4
E. 3



Hi...

You don't have to get into substitution, the simpler way could be...
A does it for t hrs, so G does it for 2t hrs..
So t+2t=27..... t=9

Now let G do x pages per hour, so A does x+2 pages per hour..
So x*18+(x+2)*9=72.....18x+9x+18=72......x=2

So G does 2 pages per hour and A does 2+2=4 pages per hour

D



Thanks! This was very helpful. I was doing a very silly error. :)
_________________

Desperately need 'KUDOS' !!

Intern
Intern
User avatar
B
Joined: 09 Dec 2014
Posts: 37
Re: Allegra and Graham edited a 72-page manuscript together, each of them  [#permalink]

Show Tags

New post 30 Jul 2017, 05:42
This is how I did:
Gt and At --> times taken by Graham and Allegra
Gr and Ar --> rates (Pages per hour) of Graham and Allegra
Gp and Ap --> number of pages edited by Graham and Allegra

Given,
Gp+Ap=72
Gt+At=27
Gt=2At
Ar=2+Gr

Gt+At=27 --> 2At + At=27 --> At= 9 and Gt=18
Speed= Distance/Time ==> Rate = # of pages/time
So, Ar=Ap/At, Gr=Gp/Gt
Ap= Ar*At, Gp=Gr*Gt
Ap= (2+Gr)9 ==> 18+9Gr, Gp=Gr*18

We know, Ap+Gp=72. Substitute for the values of Ap and Gp.
(18+9Gr) + 18Gr=72 ==> 27Gr= 54 or Gr=2 pages/hour

Ar= 2+Gr --> Ar=4 pages/hour

Answer: D
_________________

Thanks,
Ramya

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1116
Allegra and Graham edited a 72-page manuscript together, each of them  [#permalink]

Show Tags

New post 30 Jul 2017, 10:41
1
rekhabishop wrote:
Allegra and Graham edited a 72-page manuscript together, each of them working alone at a constant rate. Graham spent twice as much time editing the manuscript as did Allegra, but Allegra edited two more pages per hour than did Graham. If the total time they spent editing the manuscript was 27 hours, how many pages did Allegra edit per hour?

A. 7
B. 6
C. 5
D. 4
E. 3


let p=total pages edited by A
p/9-2=(72-p)/18
p=36 pages
36 pages/9 hours=4 pages per hour
D
Intern
Intern
avatar
B
Joined: 30 Apr 2017
Posts: 6
Allegra and Graham edited a 72-page manuscript together, each of them  [#permalink]

Show Tags

New post 03 Oct 2018, 14:08
rekhabishop wrote:
Allegra and Graham edited a 72-page manuscript together, each of them working alone at a constant rate. Graham spent twice as much time editing the manuscript as did Allegra, but Allegra edited two more pages per hour than did Graham. If the total time they spent editing the manuscript was 27 hours, how many pages did Allegra edit per hour?

A. 7
B. 6
C. 5
D. 4
E. 3



Another Approach

As graham spends twice as much time editing the manuscipts than allegra, graham's efficiency/rate is half of that of algera's.
grahams rate=x
allegas rate=2x.

now given that allegra edits 2 more pages per hour than graham. so 2x-x=2;
x=2.
Allegras rate=2x=4

NOTE: you can add or subtract on efficiency/rate but not on time taken.
GMAT Club Bot
Allegra and Graham edited a 72-page manuscript together, each of them &nbs [#permalink] 03 Oct 2018, 14:08
Display posts from previous: Sort by

Allegra and Graham edited a 72-page manuscript together, each of them

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


Copyright

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