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# A certain number of men complete a piece of work in 60 days.

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Director
Joined: 07 Jun 2004
Posts: 604
Location: PA
A certain number of men complete a piece of work in 60 days.  [#permalink]

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07 Jan 2005, 16:11
A certain number of men complete a piece of work in 60 days. IF there were 8 men more the work would have been completed in 10 days less. How many men were there originally .

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VP
Joined: 18 Nov 2004
Posts: 1397

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07 Jan 2005, 17:58
1
40.

If there are x workers in first case 1 man will take 60x. In second it will be 50(x+8)

60x = 50x + 400
x = 40
VP
Joined: 25 Nov 2004
Posts: 1445

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07 Jan 2005, 23:16
suppose total number of men = x

x men can work a job in 60 days
x men can work 1/60 job in 1 day
1 man can work 1/60x in 1 day..........................1

x+8 can do the same job in 50 days
similarly,
1 man can do 1/50(x+8) job in 1 day ..............2

from 1 and 2, 1/60x = 1/50(x+8)

solving the equation, x = 40 men.
Director
Joined: 07 Jun 2004
Posts: 604
Location: PA

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08 Jan 2005, 07:14
you guys are correct and great explnation

thanks!
Director
Joined: 21 Sep 2004
Posts: 579

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09 Jan 2005, 10:09
40.
x-----60 days
x+8----50 days.
(x+8)50=60x
50x+400=60x
therefore, x=40.
Senior Manager
Joined: 30 Dec 2004
Posts: 288
Location: California

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09 Jan 2005, 11:27
You guys give awesome explanations!....For some reason my brain turns off when it comes to these work problems
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Intern
Joined: 20 Dec 2004
Posts: 14

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27 Mar 2005, 21:36
Both of the first two explanations were great. Thanks.

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Non-Human User
Joined: 09 Sep 2013
Posts: 8176
Re: A certain number of men complete a piece of work in 60 days.  [#permalink]

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02 Jul 2018, 06:45
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Re: A certain number of men complete a piece of work in 60 days. &nbs [#permalink] 02 Jul 2018, 06:45
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