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# If w women can do a job in d days, then how many days will

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Manager
Joined: 23 Mar 2008
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If w women can do a job in d days, then how many days will [#permalink]  12 Apr 2008, 11:10
If w women can do a job in d days, then how many days will it take (w+n) women to do the job if all the women work at the same rate?

a) dw/(n+w)
b) (n+w)/d
c) (n+w)/dw
d) d(n+w)
e) d(n+w)/w
CEO
Joined: 17 Nov 2007
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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Re: women [#permalink]  12 Apr 2008, 11:12
Expert's post
fast solution: if n~10000000000, d has to be ~0. Only A works.
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Manager
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Re: women [#permalink]  12 Apr 2008, 11:48
Sorry, Walker, didn't get it.Could you please explain the solution.
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2149 [0], given: 359

Re: women [#permalink]  12 Apr 2008, 12:00
Expert's post
the usual way:

we can write two equations:

A=w*d, where A is total amount of job.
A=(w+n)*x, where x is the number of days, required for w+n women to do A.

w*d=(w+n)*x --> x=w*d/(w+n)

fast approach: It is obviously that more women (n increases) lead to fewer days to perform the same job. So, if we put a huge n, we have to obtain ~0. All options, except A, increase when n increases.
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Manager
Joined: 23 Mar 2008
Posts: 221
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Kudos [?]: 37 [0], given: 0

Re: women [#permalink]  12 Apr 2008, 12:08
Tnx. Now it's clear
Re: women   [#permalink] 12 Apr 2008, 12:08
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