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# Four machines, working independently at the same constant rate, can fi

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Math Expert
Joined: 02 Sep 2009
Posts: 58320
Four machines, working independently at the same constant rate, can fi  [#permalink]

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18 Jan 2019, 01:14
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Difficulty:

15% (low)

Question Stats:

87% (01:35) correct 13% (01:07) wrong based on 34 sessions

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Four machines, working independently at the same constant rate, can fill a production lot in 3 hours. How many of these machines would be needed to fill the lot in 30 minutes?

A 12
B 24
C 36
D 40
E 48

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Joined: 14 Mar 2018
Posts: 56
GPA: 2.99
Re: Four machines, working independently at the same constant rate, can fi  [#permalink]

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18 Jan 2019, 02:04
Thanks Bunuel for the question

We have :

Work = a production lot = 1

Time to complete the job: 3 hours = 3 x 60= 180 mins.

=> 4 machines work at a same rate: 1/180

Let x the number of machine that we need to complete the job in 30 mins.

=> 4 machines - 1/180

=> x machines - 1/30

=> x = (4x180)/(30x1)= 720/30= 24 machines.

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Joined: 31 Oct 2013
Posts: 1473
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Four machines, working independently at the same constant rate, can fi  [#permalink]

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18 Jan 2019, 03:54
Bunuel wrote:
Four machines, working independently at the same constant rate, can fill a production lot in 3 hours. How many of these machines would be needed to fill the lot in 30 minutes?

A 12
B 24
C 36
D 40
E 48

4 machines takes 3 hrs.

Then 12 machines will be needed to fill a production in 1 hr.

Now we want to fill the production in 30 mins.

So, we need 12*2 = 24 machines .

B is the answer.
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Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Four machines, working independently at the same constant rate, can fi  [#permalink]

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18 Jan 2019, 09:50
Bunuel wrote:
Four machines, working independently at the same constant rate, can fill a production lot in 3 hours. How many of these machines would be needed to fill the lot in 30 minutes?

A 12
B 24
C 36
D 40
E 48

1 machine takes 4 * 3 * 60 = 720 mins
so machines required to get work in 30 mins
720/30 = 24 IMO B
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Re: Four machines, working independently at the same constant rate, can fi   [#permalink] 18 Jan 2019, 09:50
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# Four machines, working independently at the same constant rate, can fi

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