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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: 614
Location: PA
Followers: 3

Kudos [?]: 318 [0], given: 22

A certain number of men complete a piece of work in 60 days. [#permalink]  07 Jan 2005, 15:11
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 .
VP
Joined: 18 Nov 2004
Posts: 1441
Followers: 2

Kudos [?]: 22 [0], given: 0

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: 1494
Followers: 6

Kudos [?]: 40 [0], given: 0

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: 614
Location: PA
Followers: 3

Kudos [?]: 318 [0], given: 22

you guys are correct and great explnation

thanks!
Director
Joined: 21 Sep 2004
Posts: 612
Followers: 1

Kudos [?]: 9 [0], given: 0

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: 296
Location: California
Followers: 1

Kudos [?]: 2 [0], given: 0

You guys give awesome explanations!....For some reason my brain turns off when it comes to these work problems
_________________

"No! Try not. Do. Or do not. There is no try.

Intern
Joined: 19 Dec 2004
Posts: 14
Followers: 0

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

Both of the first two explanations were great. Thanks.
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