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In a manufacturing plant, it takes 36 machines 4 hours of continuous

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In a manufacturing plant, it takes 36 machines 4 hours of continuous  [#permalink]

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New post 07 Feb 2016, 09:58
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Question Stats:

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In a manufacturing plant, it takes 36 machines 4 hours of continuous work to fill 8 standard orders. At this rate, how many hours of continuous work by 72 machines are required to fill 12 standard orders?

A. 3
B. 6
C. 8
D. 9
E. 12

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Re: In a manufacturing plant, it takes 36 machines 4 hours of continuous  [#permalink]

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New post 07 Feb 2016, 12:20
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Rate*Time=Work --> 36*Rate*4=8, Rate=1/18
72*1/18*t=12 -> t=3
Answer A
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Re: In a manufacturing plant, it takes 36 machines 4 hours of continuous  [#permalink]

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New post 08 Feb 2016, 01:45
As rate is constant, we can apply directly

M1*T1/W1= M2&T2/W2

36 *4/8= 72*T2/12........T2=3 hrs

Answer: A
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Re: In a manufacturing plant, it takes 36 machines 4 hours of continuous  [#permalink]

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New post 08 Feb 2016, 01:50
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Bunuel wrote:
In a manufacturing plant, it takes 36 machines 4 hours of continuous work to fill 8 standard orders. At this rate, how many hours of continuous work by 72 machines are required to fill 12 standard orders?

A. 3
B. 6
C. 8
D. 9
E. 12


Hi,
apart from the method described away,
the choices give away the answer..

36 machines take 4 hours to fill 8 standard orders..
in next eq we are doubling the machines from 36 to 72, but the work is not doubling(only 1 1/2 times), so naturally time taken will be less than 4..
only A left
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Re: In a manufacturing plant, it takes 36 machines 4 hours of continuous  [#permalink]

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New post 08 Feb 2016, 03:55
1
72 machines is twice 36. So in 4 hours 72 machines would fill 2 x 8 = 16 orders.

We want only 12 orders = 3/4 x 16. So we need only 3/4 x 4 = 3 hours.

Answer: A
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Re: In a manufacturing plant, it takes 36 machines 4 hours of continuous  [#permalink]

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New post 07 Sep 2018, 16:07
Bunuel wrote:
In a manufacturing plant, it takes 36 machines 4 hours of continuous work to fill 8 standard orders. At this rate, how many hours of continuous work by 72 machines are required to fill 12 standard orders?

A. 3
B. 6
C. 8
D. 9
E. 12


The rate of 36 machines is 8/4 = 2 orders per hour. So the rate of 72 machines is 2 x 2 = 4 orders per hour.

Thus, it will take 72 machines 12/4 = 3 hours to fill 12 standard orders.

Answer: A
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Re: In a manufacturing plant, it takes 36 machines 4 hours of continuous &nbs [#permalink] 07 Sep 2018, 16:07
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