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

 It is currently 16 Oct 2019, 13:09

### 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

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

# Will and Christine will work together to proofread a 420-page manuscri

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58381
Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

### Show Tags

11 Mar 2018, 21:06
1
1
00:00

Difficulty:

55% (hard)

Question Stats:

68% (02:17) correct 32% (02:58) wrong based on 115 sessions

### HideShow timer Statistics

Will and Christine will work together to proofread a 420-page manuscript. Will takes 4 minutes to proofread one page and Christine takes 3 minutes to proofread one page. If each proofreader, at maximum, can proofread for 18 hours, what is the fewest number of hours that Will will have to spend proofreading this manuscript?

A. 0 hours
B. 2 hours
C. 4 hours
D. 8 hours
E. 18 hours

_________________
Current Student
Joined: 07 Jan 2016
Posts: 1088
Location: India
GMAT 1: 710 Q49 V36
Re: Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

### Show Tags

12 Mar 2018, 00:14
1
2
Bunuel wrote:
Will and Christine will work together to proofread a 420-page manuscript. Will takes 4 minutes to proofread one page and Christine takes 3 minutes to proofread one page. If each proofreader, at maximum, can proofread for 18 hours, what is the fewest number of hours that Will will have to spend proofreading this manuscript?

A. 0 hours
B. 2 hours
C. 4 hours
D. 8 hours
E. 18 hours

will 4 minutes to proof read - in one hour 15 pages ( 60min/4) and similarly christine takes 3 mins so in one hour 20 pages

18 hrs max = 20x18 = 360
rem = 420-360=60

will = 60/15 = 4
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

### Show Tags

12 Mar 2018, 06:45
1
1
Bunuel wrote:
Will and Christine will work together to proofread a 420-page manuscript. Will takes 4 minutes to proofread one page and Christine takes 3 minutes to proofread one page. If each proofreader, at maximum, can proofread for 18 hours, what is the fewest number of hours that Will will have to spendproofreading this manuscript?

A. 0 hours
B. 2 hours
C. 4 hours
D. 8 hours
E. 18 hours

For Will to spend the fewest hours in proofreading, Christine must spend the maximum time(i.e.18 hours) proofreading the menuscript

Christine reads 1 page in 3 minutes

i.e. Christine reads 20 pages in 60 minutes (1 hours)

i.e. Christine reads 18*20=360 pages in 18 hours

Remaining pages = 420 - 360 = 60

Will time to proofread 60 pages = 60*4 = 240 min = 240/60= 4 hours

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Senior SC Moderator
Joined: 22 May 2016
Posts: 3544
Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

### Show Tags

12 Mar 2018, 10:09
1
Bunuel wrote:
Will and Christine will work together to proofread a 420-page manuscript. Will takes 4 minutes to proofread one page and Christine takes 3 minutes to proofread one page. If each proofreader, at maximum, can proofread for 18 hours, what is the fewest number of hours that Will will have to spend proofreading this manuscript?

A. 0 hours
B. 2 hours
C. 4 hours
D. 8 hours
E. 18 hours

To minimize Will's time, maximize Christine's time, and thus, amount of work she completes.

Convert rates in minutes to rates in hours. For Christine, multiply 3 minutes by 20 to get 60 minutes = 1 hour. Multiply numerator by 20, too.

C's rate: $$(\frac{1p}{3min}*\frac{20}{20})=\frac{20p}{60mins}=\frac{20p}{1hr}$$

C completes how many pages?
$$W=R*T$$. Maximum T= 18 hrs
$$W$$ completed: (20 p/hr * 18 hrs) = 360 pages

Work remaining for Will: (420-360)= 60 pages

Will's rate: $$(\frac{1p}{4min}=\frac{15p}{60min})=\frac{15p}{1hr}$$

Will's time? 60 pages remain.$$T=\frac{W}{R}$$
Will needs only $$T =\frac{60p}{(\frac{15p}{1hr})}= 4$$ hours to finish

_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.

Choose life.
Intern
Joined: 14 Aug 2017
Posts: 38
Concentration: Operations, Social Entrepreneurship
GMAT 1: 610 Q48 V26
Re: Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

### Show Tags

16 Mar 2018, 11:11
Will will be reading 15 pages an hour --- Christine will be reading 20 pages an hour.

15x+20y=420
For x to be minimum, make Y maximum
x=28-4/3Y

X=4 Hours.
Re: Will and Christine will work together to proofread a 420-page manuscri   [#permalink] 16 Mar 2018, 11:11
Display posts from previous: Sort by