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The work done by a woman in 8 hours is equal to the work done by a man
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Bunuel
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The work done by a woman in 8 hours is equal to the work done by a man [#permalink] New post  22 Jan 2021, 02:00
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The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and the work done by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same work working 8 hours per day??

(A) 1.5
(B) 3
(C) 3 2/3
(D) 4.5
(E) 5
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meanup
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Re: The work done by a woman in 8 hours is equal to the work done by a man [#permalink] New post  25 Jan 2021, 02:09
\(8w=6m=12b\)

or, \(4w=3m=6b\)

\(12m+12w+12b=12m+12(\frac{3}{4})m+12(\frac{3}{6})m=27m\)

Let x be the number of days to complete the work;

\(27*8*x=9*6*6\)

\(x=\frac{3}{2}\)

Ans A
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hiquang
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Re: The work done by a woman in 8 hours is equal to the work done by a man [#permalink] New post  25 Jan 2021, 04:16
meanup wrote:
\(8w=6m=12b\)

or, \(4w=3m=6b\)

\(12m+12w+12b=12m+12(\frac{3}{4})m+12(\frac{3}{6})m=27m\)

Let x be the number of days to complete the work;

\(27*8*x=9*6*6\)

\(x=\frac{3}{2}\)

Ans A


meanup May I ask where the "8" comes from in the last expression? Thank you!
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Mushvig
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Re: The work done by a woman in 8 hours is equal to the work done by a man [#permalink] New post  25 Jan 2021, 05:07
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The question is missing one figure. Actually, the question should be as follows:

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?

Hope this will help
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Re: The work done by a woman in 8 hours is equal to the work done by a man [#permalink] New post  25 Jan 2021, 05:17
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Mushvig wrote:
The question is missing one figure. Actually, the question should be as follows:

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours. If working 6 hours per day 9 men can complete a work in 6 days, then in how many days can 12 men, 12 women and 12 boys together finish the same working 8 hours per day?

Hope this will help


Thanks! I assumed 6 hours in 2nd scenario as well because time was not mentioned and I was getting 2 days as the answer which was not available in the options :D

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