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. 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.
Author 
Message 
TAGS:

Hide Tags

Current Student
Joined: 22 Sep 2016
Posts: 179
Location: India
GPA: 4

Allegra and Graham edited a 72page manuscript together, each of them
[#permalink]
Show Tags
30 Jul 2017, 02:01
Question Stats:
66% (02:18) correct 34% (02:46) wrong based on 134 sessions
HideShow timer Statistics
Allegra and Graham edited a 72page 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
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Desperately need 'KUDOS' !!




Math Expert
Joined: 02 Aug 2009
Posts: 7037

Allegra and Graham edited a 72page manuscript together, each of them
[#permalink]
Show Tags
30 Jul 2017, 02:39
rekhabishop wrote: Allegra and Graham edited a 72page 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/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor




Current Student
Joined: 22 Sep 2016
Posts: 179
Location: India
GPA: 4

Re: Allegra and Graham edited a 72page manuscript together, each of them
[#permalink]
Show Tags
30 Jul 2017, 02:03
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
Joined: 22 Sep 2016
Posts: 179
Location: India
GPA: 4

Re: Allegra and Graham edited a 72page manuscript together, each of them
[#permalink]
Show Tags
30 Jul 2017, 05:11
chetan2u wrote: rekhabishop wrote: Allegra and Graham edited a 72page 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
Joined: 09 Dec 2014
Posts: 37

Re: Allegra and Graham edited a 72page manuscript together, each of them
[#permalink]
Show Tags
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
Joined: 07 Dec 2014
Posts: 1116

Allegra and Graham edited a 72page manuscript together, each of them
[#permalink]
Show Tags
30 Jul 2017, 10:41
rekhabishop wrote: Allegra and Graham edited a 72page 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/92=(72p)/18 p=36 pages 36 pages/9 hours=4 pages per hour D



Intern
Joined: 30 Apr 2017
Posts: 6

Allegra and Graham edited a 72page manuscript together, each of them
[#permalink]
Show Tags
03 Oct 2018, 14:08
rekhabishop wrote: Allegra and Graham edited a 72page 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 2xx=2; x=2. Allegras rate=2x=4 NOTE: you can add or subtract on efficiency/rate but not on time taken.




Allegra and Graham edited a 72page manuscript together, each of them &nbs
[#permalink]
03 Oct 2018, 14:08






