Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 19 May 2013, 19:40
Customize  |  Hide

Search
Register
New posts
Unanswered

Lindsay can paint 1/x of a certain room in 20 minutes. What

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
Joined: 01 Sep 2007
Posts: 105
Location: Astana
Followers: 1

Kudos [?]: 14 [0], given: 0

Lindsay can paint 1/x of a certain room in 20 minutes. What [#permalink] New post 02 Feb 2008, 06:20
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 1 sessions
Lindsay can paint 1/x of a certain room in 20 minutes. What fraction of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?
SVP
SVP
Joined: 28 Dec 2005
Posts: 1612
Followers: 1

Kudos [?]: 53 [0], given: 2

GMAT Tests User
Re: PS MGMAT: Work problem [#permalink] New post 02 Feb 2008, 07:52
are we supposed to be able to come up with an absolute number for the final answer, or wil it be in terms of a variable ? or, am i just really missing something ?
Manager
Manager
User avatar
Joined: 02 Jan 2008
Posts: 162
Followers: 1

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

Re: PS MGMAT: Work problem [#permalink] New post 02 Feb 2008, 08:08
Lindsay: 20 mins - 1/x of job, so in 60 mins - 3/x of job
Let's say Joseph completes y of job in 1 hr

we have 3/x + y = 1; y = 1-3/x = x-3/x of job in 1 hr

in 20 mins (x-3)/3x
Senior Manager
Senior Manager
User avatar
Joined: 20 Dec 2004
Posts: 268
Followers: 6

Kudos [?]: 43 [0], given: 0

GMAT Tests User
Re: PS MGMAT: Work problem [#permalink] New post 02 Feb 2008, 12:04
Rate at which Lindsay can paint is \frac{1}{20x} per minute.

Let rate at which Joseph can paint be \frac{1}{20y} per minute.

We need to find \frac{1}{y} -- the amount of work Joseph can do in 20 minutes.

\frac{60}{20x} + \frac{60}{20y} = 1

=> \frac{3}{x} + \frac{3}{y} = 1

=> \frac{3}{y} = 1- \frac{3}{x}

=> y = \frac{3x}{x-3}

=> \frac{1}{y} = \frac{x-3}{3x}
_________________

Stay Hungry, Stay Foolish

2 KUDOS received
CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2530
Followers: 41

Kudos [?]: 357 [2] , given: 19

GMAT Tests User
Re: PS MGMAT: Work problem [#permalink] New post 02 Feb 2008, 12:22
2
This post received
KUDOS
CaspAreaGuy wrote:
Lindsay can paint 1/x of a certain room in 20 minutes. What fraction of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?


Lindsay can paint 1/x of a certain room in 20 minutes
Lindsey and Joseph can paint 1/3 of room in 20 minuets.
so Joseph can paint the room 1/3 - 1/x in 20 minuets
so the fraction = (x - 3)/3x
_________________

Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Senior Manager
Senior Manager
User avatar
Joined: 20 Dec 2004
Posts: 268
Followers: 6

Kudos [?]: 43 [0], given: 0

GMAT Tests User
Re: PS MGMAT: Work problem [#permalink] New post 02 Feb 2008, 12:32
GMAT TIGER wrote:
CaspAreaGuy wrote:
Lindsay can paint 1/x of a certain room in 20 minutes. What fraction of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?


Lindsay can paint 1/x of a certain room in 20 minutes
Lindsey and Joseph can paint 1/3 of room in 20 minuets.
so Joseph can paint the room 1/3 - 1/x in 20 minuets
so the fraction = (x - 3)/3x



+1 for the approach. Much faster and cleaner....good one gmat tiger.
_________________

Stay Hungry, Stay Foolish

Re: PS MGMAT: Work problem   [#permalink] 02 Feb 2008, 12:32
    Similar topics Author Replies Last post
Similar
Topics:
 New posts Laura can paint 1/x of a certain room in 20 minutes. What rkatl 7 10 Aug 2006, 10:03
New posts Laura can paint 1/x of a certain room in 20 minutes. What Hermione 1 05 Nov 2006, 01:08
New posts Lindsay can paint 1/x of a certain room in 20 minutes. What Dek 8 01 Jun 2007, 09:45
New posts Lindsey can paint 1/x of a certain room in 20 minutes. What giantSwan 6 12 May 2008, 10:32
New posts Lindsay can paint 1/x of a certain room in 20 minutes. What alimad 7 24 Jun 2008, 09:11
Display posts from previous: Sort by

Lindsay can paint 1/x of a certain room in 20 minutes. What

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com