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Al can complete a particular job in 8 hours. Boris can

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Intern
Intern
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Joined: 23 Aug 2009
Posts: 17
Followers: 0

Kudos [?]: 5 [0], given: 8

Al can complete a particular job in 8 hours. Boris can [#permalink] New post 03 Dec 2009, 21:45
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C
D
E

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Question Stats:

100% (02:43) correct 0% (00:00) wrong based on 5 sessions
Al can complete a particular job in 8 hours. Boris can complete the same job in 5. Cody can complete a second job, which requires twice as much work as the first, in 8 hours. If all three people work together on the larger job for 2 hours. How long, in hours, would it take Al, working alone to finish the job?

A. 0.8
B. 3.0
C. 6.8
D. 8.0
E. 8.8

I am confused as to how to evaluate the 2nd statement "Cody can complete a second job, which requires twice as much work as the first, in 8 hours"
Please explain!
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Peace

1 KUDOS received
Senior Manager
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Joined: 30 Aug 2009
Posts: 290
Location: India
Concentration: General Management
Followers: 3

Kudos [?]: 95 [1] , given: 5

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Re: Work and time [#permalink] New post 03 Dec 2009, 22:49
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ro86 wrote:
Al can complete a particular job in 8 hours. Boris can complete the same job in 5. Cody can complete a second job, which requires twice as much work as the first, in 8 hours. If all three people work together on the larger job for 2 hours. How long, in hours, would it take Al, working alone to finish the job?

1. 0.8
2. 3.0
3. 6.8
4. 8.0
5. 8.8
I am confused as to how to evaluate the 2nd statement "Cody can complete a second job, which requires twice as much work as the first, in 8 hours"
Please explain!


the statement means if A and B are doing work "W" then Cody does a work which is "2W"
Now considering they work at the same workrate A will take 16hrs and B will take 10hrs to do the second job.
In 2hrs A,B and C will complete 2/16 + 2/10 + 2/8 = 92/160 part of the work
remaining work is 1-92/160 = 68/160
A does 1/16 part of second job in 1hr so he would require (68/160)/(1/16) = 6.8hrs
Re: Work and time   [#permalink] 03 Dec 2009, 22:49
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Al can complete a particular job in 8 hours. Boris can

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