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# A number of machines work on a job at equally constant rate

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Senior Manager
Joined: 08 Aug 2005
Posts: 251
A number of machines work on a job at equally constant rate [#permalink]

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06 May 2006, 03:50
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A number of machines work on a job at equally constant rate respectively. How many hours does it take for 5 such machines to finish the job?

1) 4 machines take 30 hours to finish the job.
2) 5 machines takes 12 hours less than 3 machines to finish the job.
VP
Joined: 29 Dec 2005
Posts: 1341
Re: DS Work [#permalink]

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16 May 2006, 18:49
getzgetzu wrote:
A number of machines work on a job at equally constant rate respectively. How many hours does it take for 5 such machines to finish the job?

1) 4 machines take 30 hours to finish the job.
2) 5 machines takes 12 hours less than 3 machines to finish the job.

D. assuminng these 4 machines are the same as the machines above....

but both statements aren't leading to the same answer.
Director
Joined: 16 Aug 2005
Posts: 938
Location: France

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16 May 2006, 18:54
A number of machines work on a job at equally constant rate respectively. How many hours does it take for 5 such machines to finish the job?

1) 4 machines take 30 hours to finish the job.
2) 5 machines takes 12 hours less than 3 machines to finish the job.

From (1)
4 machines ..... 30 hrs
1 machine ........30x4 hrs
5 machines.......(30x4)/5 = 24 hrs

From (2)
Let 1 machine take 15x hrs
then 3 machines take 5x hrs
and 5 machines take 3x hrs
5x-3x=12
x=6
so 5 machines take 3x = 18 hrs....

Yea the answers are different...
Intern
Joined: 06 Feb 2006
Posts: 20

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16 May 2006, 20:22
Independent but same results here, bad GMAT question...
16 May 2006, 20:22
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# A number of machines work on a job at equally constant rate

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