Frances can complete a job in 12 hours, and Joan can : GMAT Problem Solving (PS)
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# Frances can complete a job in 12 hours, and Joan can

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Joined: 19 Feb 2010
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Frances can complete a job in 12 hours, and Joan can [#permalink]

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17 Sep 2010, 01:56
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Question Stats:

84% (02:17) correct 16% (00:52) wrong based on 149 sessions

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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.
[Reveal] Spoiler: OA
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Re: Frances can complete a job in 12 hours [#permalink]

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17 Sep 2010, 01:59
By 3pm, half the job is complete, since Frances has worked fro 6h and it takes him 12h to complete the whole thing
Joan starts at 4pm, he needs only 4h to do 50% of the work (since he needs 8h for the full thing). So it finishes by 8pm

Ans : (C)
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Re: Frances can complete a job in 12 hours [#permalink]

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17 Sep 2010, 02:03
cano 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.

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Re: Frances can complete a job in 12 hours [#permalink]

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13 Mar 2012, 04:56
determine the induvidual rates (1/12 & 1/8 ) and calculate the corresponding hours.
it is four more hours from 4 pm so ans is 8 pm

hence C is the correct option
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Re: Frances can complete a job in 12 hours, and Joan can [#permalink]

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30 Apr 2016, 22:56
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Re: Frances can complete a job in 12 hours, and Joan can [#permalink]

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01 May 2016, 01:06
cano 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.

Let the total work be 24 units.

Frances can complete 2 units/hr
Joan can complete 3 units/hr

Quote:
Frances starts the job at 9 a.m., and stops working at 3 p.m.

Work done by Frances in 6 hours is 12 units ; work left for Joan is 12 units ( 24 - 12)

Time required by Jones to complete the remaining work will be 12/2 => 6 hours

Given Jones starts at 4PM , so she would complete the work at 10 PM

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Re: Frances can complete a job in 12 hours, and Joan can   [#permalink] 01 May 2016, 01:06
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