Forum Home > GMAT > Quantitative > Problem Solving (PS)
Events & Promotions
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Oct 1306:00 AM PDT
-06:30 AM PDT
Solve GRE practice problems covering Quant (One answer choice and multiple answer choice), Data Interpretation, Text Completion, Sentence Equivalence, and Reading Comprehension Problems.- Oct 13
06:30 AM PDT
-07:30 AM PDT
Today we are covering a phenomenal GMAT story of Vatsal who scored 715 - which is 99.5 percentile score - on his latest GMAT focus test, USING NOTHING BUT GMAT CLUB forum quiz, GMAT Club’s YouTube videos and official questions. - Oct 13
07:30 AM PDT
-08:15 AM PDT
olve 30 GMAT Focus practice problems covering Problem Solving, Data Sufficiency, Data Insights, Reading Comprehension, and Critical Reasoning. Take this GMAT practice quiz live with peers, analyze your GMAT study progress, and see where you stand. 
Oct 1311:00 AM IST
-01:00 PM IST
Attend this session to evaluate your current skill level, learn process skills, and solve through tough Arithmetic questions
Oct 0810:00 AM EDT
-11:59 PM EDT
For a limited time use code TAKE15 to save on prep. Valid on Complete Course, Advanced Course, Bootcamp Course, Tutoring, and the Executive Assessment Course. This discount ends October 28, 2024.- Oct 15
08:30 AM PDT
-08:30 AM PDT
You'll learn how our seasoned experts have successfully helped countless applicants achieve their dream schools. With a clear understanding of the application process, including deadlines and more. - Oct 16
08:30 AM PDT
-12:00 PM PDT
Are you ready to take the next step in your academic and professional journey? If you’re aspiring to join one of the top 15 MBA programs, we’ve got an exciting opportunity just for you! Welcome to the GMAT Club's Free Interview Prep Event - Oct 18
08:00 AM PDT
-09:00 AM PDT
Are you gearing up for your ISB MBA interview? In this video, we dive deep into the common questions you may encounter and provide essential preparation tips to help you stand out from the crowd. 
Oct 1810:00 AM EDT
-12:00 PM EDT
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.- Oct 19
11:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test. 
Oct 1901:00 PM EDT
-02:00 PM EDT
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Joined: 22 Sep 2016
Posts: 132
Given Kudos: 42
Location: India
Schools: Degroote McMaster"19 (A$) HBS '20 (D) Stanford '20 (D) Wharton '20 (D) Booth '20 (D) Kellogg '20 Haas '20
GMAT 1: 710 Q50 V35
GPA: 4
Allegra and Graham edited a 72-page manuscript together, each of them
[#permalink]
30 Jul 2017, 03:01
30 Jul 2017, 03:01
2
Kudos
23
Bookmarks
Show timer
00:00
A
B
C
D
E
Difficulty:
45%
(medium)
Question Stats:
72% (02:37) correct
28%
(03:10)
wrong
based on 318
sessions
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
A. 7
B. 6
C. 5
D. 4
E. 3
Allegra and Graham edited a 72-page manuscript together, each of them
[#permalink]
30 Jul 2017, 03:39
30 Jul 2017, 03:39
8
Kudos
3
Bookmarks
Expert Reply
rekhabishop
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
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
General Discussion
Joined: 22 Sep 2016
Posts: 132
Given Kudos: 42
Location: India
Schools: Degroote McMaster"19 (A$) HBS '20 (D) Stanford '20 (D) Wharton '20 (D) Booth '20 (D) Kellogg '20 Haas '20
GMAT 1: 710 Q50 V35
GPA: 4
Re: Allegra and Graham edited a 72-page manuscript together, each of them
[#permalink]
30 Jul 2017, 03:03
30 Jul 2017, 03:03
2
Kudos
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.
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.
