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# Work Problem

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Manager
Joined: 02 Sep 2008
Posts: 103

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19 Jan 2009, 23:36
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
SVP
Joined: 04 May 2006
Posts: 1825
Schools: CBS, Kellogg

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20 Jan 2009, 00:11
milind1979 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

1. k is the fraction of the room J can pain in 20 minutes
2. in 60 minutes, L paints 3 and J paints 3k, so total is 3+3k=x --> k=(x-3)/3

k/x = (x-3)/3x
C is the best
_________________
Re: Work Problem   [#permalink] 20 Jan 2009, 00:11
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# Work Problem

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