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Lindsay & Joseph

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Author Message
TAGS:
Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 552
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V40
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 32

Kudos [?]: 1262 [0], given: 217

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

Difficulty:

  25% (medium)

Question Stats:

77% (02:37) correct 23% (00:42) wrong based on 13 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
GMAT ==> 730

1 KUDOS received
Senior Manager
Senior Manager
User avatar
Joined: 11 May 2011
Posts: 373
Location: US
Followers: 3

Kudos [?]: 64 [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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What you do TODAY is important because you're exchanging a day of your life for it!
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Manager
Manager
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Joined: 21 Aug 2010
Posts: 189
Location: United States
GMAT 1: 700 Q49 V35
Followers: 1

Kudos [?]: 45 [0], given: 141

GMAT ToolKit User
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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