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Frances can complete a job in 12 hours, and Joan can

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by Gmat_mission » Sun May 06, 2018 10:47 am
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Frances can complete a job in 12 hours, and Joan can complete the same job in 8 hours. Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?

A. 6 p.m.
B. 7 p.m.
C. 8 p.m.
D. 10 p.m.
E. 12 p.m.

[spoiler]OA=C[/spoiler].

I am confused here. Can anyone help me here? Please. I don't know how to set the equations that solve this PS question. <i class="em em-sob"></i>
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by Scott@TargetTestPrep » Tue May 08, 2018 3:17 pm
Gmat_mission wrote:Frances can complete a job in 12 hours, and Joan can complete the same job in 8 hours. Frances starts the job at 9 a.m., and stops working at 3 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?

A. 6 p.m.
B. 7 p.m.
C. 8 p.m.
D. 10 p.m.
E. 12 p.m.
From 9am to 3pm Francis completes 1/12 x 6 = 1/2 of the job.

It takes Joan, (1/2)/(8) = 4 hours to complete the remaining job, so the job is completed at 8 pm.

Answer: C

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