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# Operating at the same constant rate, 4 identical machines can produce

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Math Expert
Joined: 02 Sep 2009
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Operating at the same constant rate, 4 identical machines can produce [#permalink]

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17 Oct 2017, 22:33
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Question Stats:

90% (00:40) correct 10% (01:01) wrong based on 87 sessions

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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
[Reveal] Spoiler: OA

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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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18 Oct 2017, 01:22
1machine =55 candle/min
10 machine= 55*10candles=550 candles/min
10 machines in 5 minutes= 550*5=2750 candles

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Joined: 22 May 2016
Posts: 1329
Operating at the same constant rate, 4 identical machines can produce [#permalink]

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18 Oct 2017, 10:40
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

(# of machines) * r * t = W

4 * r * 1 = 220

r of each machine: $$\frac{220}{(4*1)} = \frac{55}{1}$$

How many candles could 10 such machines produced in 5 minutes?

(# of machines) * r * t = W

10 * $$\frac{55}{1}$$ * 5 = 2750 candles

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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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18 Oct 2017, 23:03
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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

If 4 identical machine produce a total of 220 candles per minute,
they would produce 1100 candles in 5 minutes.

Since we have been asked to find how many candles 10 such machines make,
we could get that by multiplying the candles by a factor of 2.5(because 4*2.5 = 10)

Therefore, 10 such machines produce 1100*2.5 = 2750 candles(Option C)
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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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19 Oct 2017, 00:43
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4 machines in 1 minute = 220
so 1 machine in 1 minute = 220/4 = 55
so 10 machines in 1 minute = 55*10 = 550
so 10 machines in 5 minutes = 550*5 = 2750

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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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23 Oct 2017, 16:50
I got C, first I figured out how many candles a machine makes per minute. 220/4 = 55.
-Next I plug that into the equation 55 per minute * 5 minutes * 10 machines = 2,750.
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Re: Operating at the same constant rate, 4 identical machines can produce [#permalink]

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24 Oct 2017, 05:06
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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Re: Operating at the same constant rate, 4 identical machines can produce   [#permalink] 24 Oct 2017, 05:06
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