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

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Director
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A certain number of men complete a piece of work in 60 days. [#permalink] New post 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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 [#permalink] New post 07 Jan 2005, 17:58
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
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 [#permalink] New post 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.
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 [#permalink] New post 08 Jan 2005, 07:14
you guys are correct and great explnation

thanks!
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 [#permalink] New post 09 Jan 2005, 10:09
40.
x-----60 days
x+8----50 days.
(x+8)50=60x
50x+400=60x
therefore, x=40.
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 [#permalink] New post 09 Jan 2005, 11:27
You guys give awesome explanations!....For some reason my brain turns off when it comes to these work problems :x
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 [#permalink] New post 27 Mar 2005, 21:36
Both of the first two explanations were great. Thanks.
  [#permalink] 27 Mar 2005, 21:36
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