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Twenty-four men can complete a work in sixteen days.Thirty-two women c

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Intern
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Joined: 31 Dec 2017
Posts: 19
Concentration: Finance
Re: Twenty-four men can complete a work in sixteen days.Thirty-two women c [#permalink]

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New post 14 Jan 2018, 19:00
Chemerical71 wrote:
Twenty-four men can complete a work in sixteen days.Thirty-two women can complete the same work in twenty-four days.Sixteen men and sixteen women started working for twelve days.How many more men are to be added to complete the work remaining work in 2 days?

A .16
B. 24
C. 36
D. 48
E. 54


Total work \(= 24m*16d = 384md\), or \(32w * 24d = 768wd\).

\(24m * 16d = 32w * 24d\)
\(1md = 2wd\): men are twice as efficient as women.

Work done by \(16m\) and \(16w\) in \(12\) days \(= 12(32wd + 16wd) = 576wd\).

Remaining work \(= 768-576 = 192 wd\), can be completed in \(2\) days by \(\frac{192}{2} = 96w\).

\(96w - 48w = 48w = 24m\). Ans - B.
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Joined: 23 Jun 2017
Posts: 13
Re: Twenty-four men can complete a work in sixteen days.Thirty-two women c [#permalink]

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New post 12 Feb 2018, 11:03
Abhishek009 wrote:
Chemerical71 wrote:
Twenty-four men can complete a work in sixteen days.Thirty-two women can complete the same work in twenty-four days.Sixteen men and sixteen women started working for twelve days.How many more men are to be added to complete the work remaining work in 2 days?

A .16
B. 24
C. 36
D. 48
E. 54


Quote:
Twenty-four men can complete a work in sixteen days.


So, Total mandays = 24*16 => 384

Quote:
Thirty-two women can complete the same work in twenty-four days.


So, Total womandays = 32*24 => 768

Now, total work = LCM( 384,768 ) => 768

So, Efficiency of men = 2 & Efficiency of women = 1

Quote:
Sixteen men and sixteen women started working for twelve days.


Work completed = (16*2 + 16*1 )12 => 576 units , Work left = 768 - 576 => 192

Quote:
How many more men are to be added to complete the work remaining work in 2 days?


\({(16+m)*2 + 16*1 }*2 = 192\)

Or, \((16+m)*2 + 16 = 96\)

Or, \((16+m) = 40\)

Or, \(m = 24\)

Thus, we need to add , 24 more men workers, answer must be (B) 24 men...








{(16+m)*2 + 16*1 }*2 = 192
Why have you not multiplied mans efficiency here?
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Re: Twenty-four men can complete a work in sixteen days.Thirty-two women c [#permalink]

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New post 26 Mar 2018, 00:04
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24m*16=32w*24
m=2w
16m+16w=48w
48w 12 dasy works =12*48/32*24
=3/4
the rest =1/4
1/4 works in 2 days need
=48*12*4/3*4*2
=96 w
2w = 1 m
96w=48 m
here original m 24
so extra m 48-24
24

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Re: Twenty-four men can complete a work in sixteen days.Thirty-two women c   [#permalink] 26 Mar 2018, 00:04

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