Work Problem

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skyjuice: Newbie | Next Rank: 10 Posts; Posts: 6; Joined: Tue Nov 14, 2006 11:09 am

by skyjuice » Tue May 08, 2007 7:57 am

Can some one please show me a easy and straight forward way to solv this probem. Thanks.

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

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Source: Beat The GMAT — Problem Solving | Tue May 08, 2007 7:57 am

Cybermusings: Legendary Member; Posts: 559; Joined: Tue Mar 27, 2007 1:29 amFollowed by: 2 members; Thanked: 5 times

by Cybermusings » Tue May 08, 2007 9:33 am

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

Lindsay ---- 1/x room in 20 min or whole room in 20x min
or 1/20x room in 1 min

Lindsay + Joseph ---- 1 room ---- 60 min
or 1/60 room in 1 min

So Joseph in 1 min = 1/60 - 1/20x = (x - 3)/60x
So Joseph in 20 min = 20(x-3)/60x = x-3/3x

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skyjuice: Newbie | Next Rank: 10 Posts; Posts: 6; Joined: Tue Nov 14, 2006 11:09 am

by skyjuice » Tue May 08, 2007 9:39 am

Thanks really appreciate it

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