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# machine A produces pencils at a constant rate of 9000

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Manager
Joined: 05 Jul 2006
Posts: 195

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machine A produces pencils at a constant rate of 9000 [#permalink]

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29 Sep 2006, 08:13
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machine A produces pencils at a constant rate of 9000 pencils per hour and machine B produces pencils at a constant rate of 7000 pencils per hour. If two machines together must produce 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?

4
4(2/3)
5(1/3)
6
6(1/4)

Kudos [?]: 76 [0], given: 0

Senior Manager
Joined: 31 Jul 2006
Posts: 440

Kudos [?]: 56 [0], given: 0

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29 Sep 2006, 18:07
lan583 wrote:
machine A produces pencils at a constant rate of 9000 pencils per hour and machine B produces pencils at a constant rate of 7000 pencils per hour. If two machines together must produce 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?

4
4(2/3)
5(1/3)
6
6(1/4)

Is it me or are you missing total number of penciles?

Kudos [?]: 56 [0], given: 0

Manager
Joined: 05 Jul 2006
Posts: 195

Kudos [?]: 76 [0], given: 0

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29 Sep 2006, 20:16
here is the correct question:

machine A produces pencils at a constant rate of 9000 pencils per hour and machine B produces pencils at a constant rate of 7000 pencils per hour. If two machines together must produce 100000 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?

Kudos [?]: 76 [0], given: 0

VP
Joined: 21 Aug 2006
Posts: 1012

Kudos [?]: 39 [0], given: 0

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29 Sep 2006, 23:36
9000*8 hours + 7000*4hours =100000

Is it 4 hours Ian?
_________________

The path is long, but self-surrender makes it short;
the way is difficult, but perfect trust makes it easy.

Kudos [?]: 39 [0], given: 0

Manager
Joined: 14 Sep 2006
Posts: 197

Kudos [?]: 58 [0], given: 0

Schools: Olin Business School - Washington University

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30 Sep 2006, 00:25
Straight A.

Machine A works 8 hours, producing 72k pencils, Machine B comes in to produce 28k. 28000/7000 = 4 hours.

Kudos [?]: 58 [0], given: 0

30 Sep 2006, 00:25
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# machine A produces pencils at a constant rate of 9000

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