Find all School-related info fast with the new School-Specific MBA Forum

It is currently 20 Aug 2014, 02:44

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Jane and Ashley take 20 days and 40 days respectively to

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Intern
Intern
User avatar
Joined: 14 Jun 2011
Posts: 17
Followers: 0

Kudos [?]: 22 [0], given: 21

Jane and Ashley take 20 days and 40 days respectively to [#permalink] New post 27 Dec 2012, 13:36
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

57% (03:13) correct 43% (02:32) wrong based on 135 sessions
Jane and Ashley take 20 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?

(A) 10 Days
(B) 15 Days
(C) 16 Days
(D) 18 Days
(E) 20 Days
[Reveal] Spoiler: OA

_________________

If this post helped you in your GMAT prep in anyway, please take a moment and hit the "Kudos" button.
:) It'll make my day :)

Expert Post
7 KUDOS received
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4664
Location: Pune, India
Followers: 1070

Kudos [?]: 4771 [7] , given: 163

Re: Jane and Ashley take 20 days and 40 days respectively to [#permalink] New post 31 Jan 2013, 20:39
7
This post received
KUDOS
Expert's post
tabsang wrote:
Jane and Ashley take 20 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?

(A) 10 Days
(B) 15 Days
(C) 16 Days
(D) 18 Days
(E) 20 Days


Remember, Work = Rate*Time and Rate = 1/Time

Ashley worked alone on the project for 8 days. Work done in these 8 days = R*T = (1/40)*8 = 1/5
Jane worked alone on the project for 4 days. Work done in these 4 days = R*T = (1/20)*4 = 1/5
Leftover work = 1 - 1/5 - 1/5 = 3/5

On this 3/5 work, both worked together. Their combined rate = 1/20 + 1/40 = 3/40
3/5 = 3/40*T
T = 8 days

Total time taken = 8 (Ashley worked alone) + 4(Jane worked alone) + 8 (Both worked together) = 20 days
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

1 KUDOS received
Moderator
Moderator
User avatar
Joined: 02 Jul 2012
Posts: 1226
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 65

Kudos [?]: 655 [1] , given: 116

GMAT Tests User Premium Member
Re: Jane and Ashley take 20 days and 40 days respectively to [#permalink] New post 31 Jan 2013, 20:51
1
This post received
KUDOS
Let us assume that the work is laying 40 bricks.

Jane = 2 bricks per day
Ashley = 1 brick per day
Together = 3 bricks per day

Let's say first 8 days Ashley works alone,
No of bricks = 8
Last 4 days Jane works alone,
No. of bricks = 8

Remaining bricks = 40 - 16 = 24
So together, they would take 24/3 = 8

Total no. of days = 8 + 4 + 8 = 20

Answer is E
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types

Senior Manager
Senior Manager
User avatar
Joined: 17 Dec 2012
Posts: 394
Location: India
Followers: 12

Kudos [?]: 168 [0], given: 9

Re: Jane and Ashley take 20 days and 40 days respectively to [#permalink] New post 27 Dec 2012, 14:57
tabsang wrote:
Jane and Ashley take 20 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it.
During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?

(A) 10 Days
(B) 15 Days
(C) 16 Days
(D) 18 Days
(E) 20 Days



Assume Jane and Ashley worked together for x days without considering the 8 day leave of Jane. They would have completed x(\frac{1}{40} + \frac{1}{20}) of the total work in those days. In the period when Jane took a 8 day leave, Ashley worked alone. So Ashley worked alone for 8 days. He would have completed \frac{8}{40} th of the total work. The work finished before Jane started working alone, is x(\frac{1}{20} + \frac{1}{40}) + \frac{8}{40}. This is equal to \frac{4}{5} of the total work as in the period when Jane was working alone which is 4 days, she would have completed \frac{4}{20} or \frac{1}{5} of the work. Previously done work is therefore \frac{4}{5}.

x(\frac{1}{40} +\frac{1}{20}) +\frac{8}{40} = \frac{4}{5}

We have x = 8

Add to this the 8 days when Ashley worked alone and the 4 days when Jane worked alone. The total is 8+8+4=20 days.
_________________

Srinivasan Vaidyaraman
Sravna Test Prep
http://www.sravna.com/courses.php

Classroom Courses in Chennai
Online and Correspondence Courses


Last edited by SravnaTestPrep on 27 Dec 2012, 17:04, edited 2 times in total.
Manager
Manager
avatar
Joined: 03 Nov 2009
Posts: 63
Followers: 1

Kudos [?]: 8 [0], given: 17

Re: Jane and Ashley take 20 days and 40 days respectively to [#permalink] New post 27 Dec 2012, 16:06
I generally use take a constant (LCM) and a production example for this kind of questions.

Assuming that Jane and Ashley's work is production of certain number of Toys

In 20 days Jane completes making certain number of Toys and the same number of Toys takes 40 days for Ashley to complete, so we take the LCM (Lowest common Multiple) which would be the target work = 80 toys to complete

From above assumption we know that Jane completes 4 toys / day as in 80/20 days

And Ashley completes 2 toys / Day as in 80/40 days

Now if both worked without any break they would take 80/4+2 days to complete which is 13.333 days, so that eliminates choice (A) = 10 days

Now plugging in choices, B - Jane completes (15-8)*4 = 28
Ashley completes 15*2 =30
Total work in 15 days with 8 days break by Jane = 28+30 = 58 toys
Jane works for 4 days on her own = 4*4 = 16 toys
So in 15 days ( both Jane & Ashley)+ 4 days(only Jane) they complete 58+16 =74 toys, 6 short of the target of 80

Plug in choice C - Ashley completes 16*2= 32 toys
Jane completes 8*4 = 32 toys
Total in 16 days = 64 toys
Jane takes 4 days on her own, 4*4 = 16 toys
So in 16 days ( both Jane & Ashley)+ 4 days(only Jane) they complete = 64+16 = 80 toys which is the target.

Ans : E
Intern
Intern
avatar
Joined: 25 Sep 2012
Posts: 12
Followers: 0

Kudos [?]: 0 [0], given: 0

Re: Jane and Ashley take 20 days and 40 days respectively to [#permalink] New post 31 Jan 2013, 19:47
SravnaTestPrep wrote:
tabsang wrote:
Jane and Ashley take 20 days and 40 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it.
During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working for four extra days on her own to complete the project. How long did it take to finish the project ?

(A) 10 Days
(B) 15 Days
(C) 16 Days
(D) 18 Days
(E) 20 Days



Assume Jane and Ashley worked together for x days without considering the 8 day leave of Jane. They would have completed x(\frac{1}{40} + \frac{1}{20}) of the total work in those days. In the period when Jane took a 8 day leave, Ashley worked alone. So Ashley worked alone for 8 days. He would have completed \frac{8}{40} th of the total work. The work finished before Jane started working alone, is x(\frac{1}{20} + \frac{1}{40}) + \frac{8}{40}. This is equal to \frac{4}{5} of the total work as in the period when Jane was working alone which is 4 days, she would have completed \frac{4}{20} or \frac{1}{5} of the work. Previously done work is therefore \frac{4}{5}.

x(\frac{1}{40} +\frac{1}{20}) +\frac{8}{40} = \frac{4}{5}

We have x = 8

Add to this the 8 days when Ashley worked alone and the 4 days when Jane worked alone. The total is 8+8+4=20 days.




How could you reach to 4/5th of the total work please explain in detail
SVP
SVP
User avatar
Joined: 09 Sep 2013
Posts: 2068
Followers: 178

Kudos [?]: 34 [0], given: 0

Premium Member
Re: Jane and Ashley take 20 days and 40 days respectively to [#permalink] New post 06 Apr 2014, 23:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: Jane and Ashley take 20 days and 40 days respectively to   [#permalink] 06 Apr 2014, 23:02
    Similar topics Author Replies Last post
Similar
Topics:
25 Experts publish their posts in the topic 760 in <40 days nimalan 11 19 Jul 2013, 10:50
1 40 points in 11 days? Dreaming 5 19 Apr 2012, 04:57
5 John can complete a given task in 20 days. Jane will take arjtryarjtry 7 20 Jul 2008, 04:23
2 Otto takes 20 days to empty a 50 liter barrel of beer and bmwhype2 5 19 Oct 2007, 12:34
Working at their respective rates machine A takes 2 days damit 7 02 Sep 2004, 12:01
Display posts from previous: Sort by

Jane and Ashley take 20 days and 40 days respectively to

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.