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Machine A produces pencils at a constant rate of 9000 [#permalink]
26 Oct 2005, 21:58

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Machine A produces pencils at a constant rate of 9000 pencils/hour, and machine B products pencils at a constant rate of 7000 pencils per hour. If the two machine together must product 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time, in hours, that machine B must operate?

Re: PS - Prep1 - Two machines working together [#permalink]
31 Oct 2005, 02:48

Answer is A.
If B has to be minimum then A should work for the maximum time.
The original equn is 7000 X + 9000 Y = 100000
Where x is number of hours that A works and Y for B. We want maximum for B, so Y will be 8.
7000x + (9000 * 8) = 100000
=> 7000X = 280000 => x = 4
So machine B must operate for atleast 4 hours. - A

gmatclubot

Re: PS - Prep1 - Two machines working together
[#permalink]
31 Oct 2005, 02:48