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Machine A produces pencils at a constant rate of 9,000 pencils per hou [#permalink]
04 Apr 2007, 16:09

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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 the two machines to gather must produce 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: Machine A produces pencils at a constant rate of 9,000 pencils per hou [#permalink]
05 Apr 2007, 23:51

nitinneha 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 the two machines togather must produce 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? A)4 B)4 2/3 C)5 1/3 D)6 E)6 1/4

B should operate for least time so A must run for 8 hours and produce 72K. So remaining 28K will be produced by B in 4 hours

Re: Machine A produces pencils at a constant rate of 9,000 pencils per hou [#permalink]
27 Jul 2010, 12:48

Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour. If the two machines together must produce 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?

A. 4 B. 4 and 2/3 C. 5 and 1/3 D. 6 E. 6 and 1/4

Last edited by Bunuel on 08 Mar 2015, 05:54, edited 2 times in total.

Re: Machine A produces pencils at a constant rate of 9,000 pencils per hou [#permalink]
27 Jul 2010, 13:16

Expert's post

Machine A produces pencils at a constant rate of 9,000 pencils per hour, and machine B produces pencils at a constant rate of 7,000 pencils per hour. If the two machines together must produce 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?

a) 4 b) 4 and 2/3 c) 5 and 1/3 d) 6 e) 6 and 1/4

To minimize the time that machine B must operate we must maximize the time machine A can operate, so make it operate 8 hours. In 8 hours machine A will produce 8*9,000=72,000 pencils, so 100,000-72,000=28,000 pencils are left to produce, which can be produced by machine B in 28,000/7,000=4 hours.

Re: Machine A produces pencils at a constant rate of 9,000 pencils per hou [#permalink]
08 Mar 2015, 03:00

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Re: Machine A produces pencils at a constant rate of 9,000 pencils per hou [#permalink]
10 Apr 2015, 06:26

nitinneha 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 the two machines to gather must produce 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: Machine A produces pencils at a constant rate of 9,000 pencils per hou [#permalink]
10 Apr 2015, 07:38

nitinneha 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 the two machines to gather must produce 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?

A. 4 B. 4 2/3 C. 5 1/3 D. 6 E. 6 1/4

we want machine B to work minimum hours , for that we have to make machine A work maximum possible hours i.e. 8. in 8hrs machine A will produce 72 pencils . now remaining 28 pencils will be produced by machine B in 4hrs . answer A. (72 + 28 = 100 ) *1000 _________________

Thanks, Lucky

_______________________________________________________ Kindly press the to appreciate my post !!

gmatclubot

Re: Machine A produces pencils at a constant rate of 9,000 pencils per hou
[#permalink]
10 Apr 2015, 07:38

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