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

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Intern
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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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.
Intern
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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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?
Intern
Joined: 27 Nov 2017
Posts: 1
Re: Twenty-four men can complete a work in sixteen days.Thirty-two women c [#permalink]

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26 Mar 2018, 00:04
1
This post was
BOOKMARKED
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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