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# Work Problem: Repairing a Road

Author Message
Manager
Joined: 25 May 2009
Posts: 142
Concentration: Finance
GMAT Date: 12-16-2011
Followers: 4

Kudos [?]: 128 [1] , given: 2

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19 May 2010, 19:26
1
KUDOS
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:53) correct 0% (00:00) wrong based on 2 sessions

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It takes 4 men 6 hours to repair a road. How long will it take 7 men to do the job if they work at the same rate?
Manager
Joined: 08 May 2010
Posts: 143
Followers: 1

Kudos [?]: 66 [0], given: 39

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19 May 2010, 20:44
It takes 4 men 6 hours to repair a road. How long will it take 7 men to do the job if they work at the same rate?

So if 4 men repair the road in 6 hours, it would take 8 men 3 hours. There is an inverse relationship. 7 men would take more than 3 hours. 4x6 = 7h. 24= 7h, h=24/7. h= 3 3/7 hours.

Thanks,
Skip
Senior Manager
Affiliations: SPG
Joined: 15 Nov 2006
Posts: 327
Followers: 16

Kudos [?]: 747 [0], given: 28

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20 May 2010, 02:18
4 men take 6 hours

1 man will take 24 hours ( notice that we have to multiply --- there is just 1 man doing all the work!! )

7 men will then do the work in 24/7 hours
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