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# Operating at the same constant rate, 4 identical machines ca

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Senior Manager
Joined: 20 May 2014
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Kudos [?]: 49 [0], given: 220

Operating at the same constant rate, 4 identical machines ca [#permalink]  17 Oct 2017, 22:27
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Question Stats:

84% (00:53) correct 15% (00:58) wrong based on 13 sessions
Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000

Kudos for correct solution.
[Reveal] Spoiler: OA
Director
Joined: 03 Sep 2017
Posts: 521
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Kudos [?]: 327 [1] , given: 66

Re: Operating at the same constant rate, 4 identical machines ca [#permalink]  18 Oct 2017, 05:35
1
KUDOS
The formula in this case is $$items = machines*time*rate$$. Thus, substituting, we get the rate as $$220=4*1*x$$ x = 55.

Then, we can use this rate to compute the number of candles as $$items = 10*5*55 = 2,750$$.

Target Test Prep Representative
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Joined: 09 May 2016
Posts: 161
Location: United States
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Kudos [?]: 114 [0], given: 0

Re: Operating at the same constant rate, 4 identical machines ca [#permalink]  08 Jan 2018, 10:52
Expert's post
Bunuel wrote:
Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000

We can determine the rate of 10 machines with the following proportion:

4/220 = 10/x

4x = 2200

x = 550

We know that 10 machines can produce 550 candles in one minute. Thus, in 5 minutes, 10 machines can produce 550 x 5 = 2750 candles.

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Kudos [?]: 1053 [0], given: 6

Re: Operating at the same constant rate, 4 identical machines ca [#permalink]  09 Jan 2018, 12:06
Expert's post
Bunuel wrote:
Operating at the same constant rate, 4 identical machines can produce a total of 220 candles per minute. At this rate, how many candles could 10 such machines produce in 5 minutes?

(A) 512
(B) 2,200
(C) 2,750
(D) 11,000
(E) 44,000

Another approach is to take the given information and work towards the answer in steps

GIVEN: 4 machines produce 220 candles per ONE minute
So, 4 machines produce 1100 candles per FIVE minutes (a 5 times increase in time means a 5 times increase in output)
10 machines produce 2750 candles per FIVE minutes (a 2.5 times increase in machines means a 2.5 times increase in output)

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: Operating at the same constant rate, 4 identical machines ca   [#permalink] 09 Jan 2018, 12:06
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