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

It is currently 23 Oct 2018, 09:43

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

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

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50060
Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

Show Tags

New post 11 Mar 2018, 21:06
1
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

71% (02:18) correct 29% (03:03) wrong based on 105 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

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

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?
Extra-hard Quant Tests with Brilliant Analytics

BSchool Forum Moderator
User avatar
G
Joined: 07 Jan 2016
Posts: 781
Location: India
GMAT 1: 710 Q49 V36
Reviews Badge
Re: Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

Show Tags

New post 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
CEO
User avatar
P
Joined: 08 Jul 2010
Posts: 2576
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Re: Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

Show Tags

New post 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



ANswer: Option C
_________________

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
avatar
V
Joined: 22 May 2016
Posts: 2040
Premium Member CAT Tests
Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

Show Tags

New post 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

Answer C
_________________

___________________________________________________________________
For what are we born if not to aid one another?
-- Ernest Hemingway

Intern
Intern
avatar
B
Joined: 14 Aug 2017
Posts: 42
Concentration: Operations, Social Entrepreneurship
GMAT 1: 610 Q48 V26
GMAT ToolKit User
Re: Will and Christine will work together to proofread a 420-page manuscri  [#permalink]

Show Tags

New post 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

Start with y=18
X=4 Hours.
GMAT Club Bot
Re: Will and Christine will work together to proofread a 420-page manuscri &nbs [#permalink] 16 Mar 2018, 11:11
Display posts from previous: Sort by

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

  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®.