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

 It is currently 28 Apr 2015, 02:50

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Tom, working alone, can paint a room in 6 hours. Peter and

 Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 349 [0], given: 4

Tom, working alone, can paint a room in 6 hours. Peter and [#permalink]  14 Feb 2008, 08:19
Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

Director
Joined: 01 Jan 2008
Posts: 629
Followers: 3

Kudos [?]: 139 [0], given: 1

Re: MGMAT - Work [#permalink]  14 Feb 2008, 11:04
bmwhype2 wrote:
Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?

x - amount of work Tom does in an hour -> x = 1/6
y - amount of work Peter does in an hour -> y = 1/3
z - amount of work John does in an hour -> z = 1/2

total work:
first hour: x
second hour: x + y
the rest of the time (since 2x+y = 2/3 < 1) t : t*(x+y+z)

total work x + (x+y) + t*(x+y+z) = 1 -> t = (1-2x-y)/(x+y+z)

Peter's work: y + y*t = y*(1+t) = 1/3*(1+(1-1/3-1/3)/(1/6+1/3+1/2)) = 1/3 + 1/9 = 4/9
Re: MGMAT - Work   [#permalink] 14 Feb 2008, 11:04
Similar topics Replies Last post
Similar
Topics:
28 Tom, working alone, can paint a room in 6 hours. Peter and 6 27 Jan 2012, 12:19
8 Tom, working alone, can paint a room in 6 hours. Peter and 13 11 Aug 2011, 07:40
3 Working together, Max and Mandy painted the living room in six hours. 3 16 Sep 2010, 06:29
Tom, working alone, can paint a room in 6 hours. Peter and 11 12 Oct 2008, 19:08
Tom, working alone, can paint a room in 6 hours. Peter and 5 20 Aug 2007, 18:34
Display posts from previous: Sort by

# Tom, working alone, can paint a room in 6 hours. Peter and

 Question banks Downloads My Bookmarks Reviews Important topics

 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®.