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Lindsay & Joseph

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TAGS:
Director
Director
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Status: Preparing for the 4th time -:(
Joined: 25 Jun 2011
Posts: 562
Location: United Kingdom
Concentration: International Business, Strategy
GMAT Date: 06-22-2012
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 13

Kudos [?]: 516 [0], given: 217

Lindsay & Joseph [#permalink] New post 05 Nov 2011, 12:25
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:24) correct 30% (00:42) wrong based on 10 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?

A)1/3x
B) 3x/(x – 3)
C) (x – 3) / 3x
D)x / (x – 3)
E) (x – 3) / x

Correct answer is C. Any idea how to solve this guys?
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610 :-(

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 11 May 2011
Posts: 376
Location: US
Followers: 2

Kudos [?]: 61 [1] , given: 46

Re: Lindsay & Joseph [#permalink] New post 05 Nov 2011, 13:00
1
This post received
KUDOS
Lindsay ->
paints 1/x of a certain room in 20 minutes or 1/3 hour,
Hence, whole room can be painted in (1/3)/(1/x) = (x/3) Hour.

Joseph ->
Lets say paints 1/y of a certain room in 20 minutes or 1/3 hour. (We have to find y in terms of x)
Hence, whole room can be painted in (1/3)/(1/y) = (y/3) Hour.

As question says, two of them can paint the room in an hour
Hence, 1/(x/3)+ 1/(y/3)= 1 hr
Simpfying for y we -> y = 3x/(x-3)

Hope it helps.
Cheers!
_________________

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Manager
Manager
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Joined: 21 Aug 2010
Posts: 93
Location: United States
Followers: 1

Kudos [?]: 25 [0], given: 80

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Re: Lindsay & Joseph [#permalink] New post 05 Nov 2011, 20:51
enigma123 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?

A)1/3x
B) 3x/(x – 3)
C) (x – 3) / 3x
D)x / (x – 3)
E) (x – 3) / x

Correct answer is C. Any idea how to solve this guys?


Lindsey and Joseph together can paint the room in 1 hour

in 20 mins they can paint 1/3 part of the room.

Lindsay alone paints 1/x part of the room in 20 mins

Take Joseph paints 1/y parts in 20 mins

1/x + 1/y = 1/3

1/y = 1/3 - 1/x = (x-3)/3x ANs C
_________________

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Re: Lindsay & Joseph   [#permalink] 05 Nov 2011, 20:51
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