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Working simultaneously at an identical constant rate, it takes 6 machi
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29 Aug 2017, 23:41
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Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours? A. 6 B. 12 C. 18 D. 24 E. 48
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Working simultaneously at an identical constant rate, it takes 6 machi
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30 Aug 2017, 00:28
Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 6 Machines 8 Hoursy widgets So 6 Machines4 Hours\(\frac{y}{2}\)widgets But we need to produce 2y widgets in 4 hours. To produce \(\frac{y}{2}\) widgets, we need 6 machines So to produce 4*\(\frac{y}{2}\)widgets =2y widgets, we need 4*6 machines = 24 machines. (D)



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Re: Working simultaneously at an identical constant rate, it takes 6 machi
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30 Aug 2017, 00:31
Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 6 machines working for 8 hrs produce y widgets ? machines working for 4 hrs to produce 2y widgets Multiplication factor for time is New/Old = 4/8 Multiplication factor for widgets is New/Old = 2y/y No of machines is directly proportional to Number of widgets needed to be made and inversely proportional to the time allotted for the work. Hence Number of new machines will be 6*(8/4)*(2y/y) = 24 Hence answer should be D. 24 Kudos help someone feel appreciated and cost nothing. Do hit the Kudos if you feel this helped.



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Re: Working simultaneously at an identical constant rate, it takes 6 machi
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30 Aug 2017, 00:32
Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 6 m + 8 h = Y w 12 m + 8 h = 2Y w 24 m + 4 h = 2Y w D
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Working simultaneously at an identical constant rate, it takes 6 machi
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30 Aug 2017, 16:49
Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 # of machines(M) * rate * time = Work The individual machine rate for 6 machines to produce y widgets in 8 hours is \(\frac{y}{(6*8)}\) = \(\frac{y}{48}\) To produce 2y widgets in 4 hours, working at that rate, it will take how many machines, M? M * \(\frac{y}{48} * 4 = 2y\) M = \(\frac{2y}{(\frac{4y}{48})}\), or M = \(2y * \frac{48}{4y}\) = 24 machines Answer D
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Re: Working simultaneously at an identical constant rate, it takes 6 machi
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02 Sep 2017, 07:17
Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 We are given that the rate of 6 machines is y/8. Using a proportion, we can determine how many machines work at a rate of 2y/4 = y/2. 6/(y/8) = n/(y/2) 48/y = 2n/y 48y = 2ny 24 = n Alternate solution: We see that the number of widgets needed to be produced (2y) is twice the given number of widgets (y). Thus, we need to double 6 machines to 12 machines so that in 8 hours they can produce 2y widgets. However, we see we need to produce these 2y widgets in 4 hours, which is half of the given 8 hours. Thus, we need to double the machines again from 12 machines to 24 machines to produce 2y widgets in 4 hours. Answer: D
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Working simultaneously at an identical constant rate, it takes 6 machi
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06 Sep 2017, 00:39
Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 Let y = 24 Rates * Time = Work (1/2*6) * 8 = 24=> (1/2*6) * 4 =12=> (1/2*x) *4 =48 1/2X * 4 =48 =>X = 24 Answer D



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Re: Working simultaneously at an identical constant rate, it takes 6 machi
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06 Sep 2017, 04:01
Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 To produce y widget 6*8 = 48 Machine  hours are required To produce 2y widget 48*2 = 96 Machine  hours are required To produce 2y widget in 4 hours, 96/4 = 24 Machines are required. .... Answer D



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06 Sep 2017, 08:19
JeffTargetTestPrep wrote: Bunuel wrote: Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48 We are given that the rate of 6 machines is y/8. Using a proportion, we can determine how many machines work at a rate of 2y/4 = y/2. 6/(y/8) = n/(y/2) 48/y = 2n/y 48y = 2ny 24 = n Alternate solution: We see that the number of widgets needed to be produced (2y) is twice the given number of widgets (y). Thus, we need to double 6 machines to 12 machines so that in 8 hours they can produce 2y widgets. However, we see we need to produce these 2y widgets in 4 hours, which is half of the given 8 hours. Thus, we need to double the machines again from 12 machines to 24 machines to produce 2y widgets in 4 hours. Answer: D Loved this tecnique! Kudos for you!



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Re: Working simultaneously at an identical constant rate, it takes 6 machi
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06 Sep 2017, 21:20
[quote="Bunuel"]Working simultaneously at an identical constant rate, it takes 6 machines 8 hours to produce y widgets. How many machines, working at that identical constant rate, are necessary to produce 2y widgets in 4 hours?
A. 6 B. 12 C. 18 D. 24 E. 48[/quote
6*R*8= y; Given same rate so N*R*4=2y; N*R*4= 2*6*R*8 N=96/4= 24
Ans:D



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Re: Working simultaneously at an identical constant rate, it takes 6 machi
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23 Mar 2019, 21:05
it takes 6 machines 8 hours to produce y widgets.
It would take twice the number of machines (12) to produce 2y widgets in 8 hours.
To finish the job in half the time we need twice as many machines. 12x2=24 machines.




Re: Working simultaneously at an identical constant rate, it takes 6 machi
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