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Running at the same rate, 8 identical machines can produce 560 papercl

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Bunuel
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Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   27 Feb 2015, 06:01
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Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 20 machines produce in 6 minutes?

A. 1344
B. 3360
C. 8400
D. 50400
E. 67200

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C
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ynaikavde
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Re: Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   27 Feb 2015, 07:44
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8 machines produce 560 in 1 min
8 machines produce 560* 6 in 6 min
20 machine produce 560*6*(20/8) in 6 minutes
560*6*20/8=8400 answer is C.
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OptimusPrepJanielle
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Re: Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   27 Feb 2015, 10:08
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Bunuel wrote:
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 20 machines produce in 6 minutes?

A. 1344
B. 3360
C. 8400
D. 50400
E. 67200

Kudos for a correct solution.


Rate for task 1 is same as rate for task 2.
This rate is defined as efforts put divided by work done.
So, (8 * 1)/560 = (20 * 6)/x
So, x = 8400
Hence option C.

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Re: Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   27 Feb 2015, 12:32
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560 / 8 = 70 / min

20 * 70 = 1400 / min

1400 * 6 = 8400

Answer C
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ak1802
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Re: Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   27 Feb 2015, 12:54
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I've been big on ratio "esque" solutions lately, and it even applies here.

8 machines = 560 clips = 1 minute

*20 minutes

8 machines = 3360 clips = 20 minutes

Therefore 420 clips per machine.

420 clips * 20 machines = 8,400 clips.

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Bunuel
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Re: Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   02 Mar 2015, 05:48
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Bunuel wrote:
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 20 machines produce in 6 minutes?

A. 1344
B. 3360
C. 8400
D. 50400
E. 67200

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:

“Running at the same rate, 8 identical machines can produce 560 paperclips a minute.” That 560 is a combined rate of 8 machines —- 560 = 8*R, so the rate of one machine is R = 560/8 = 70 paperclips per minute.

“At this rate, how many paperclips could 20 machines produce in 6 minutes?” Well, the combined rate of 20 machines would be Rtotal = 20*70 = 1400 pc/min. Now, plug that into the “art” equation: A = RT = (1400)*(6) = 8400 pc.

Answer = C.
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Re: Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   14 Jan 2021, 05:22
Expert Reply
Bunuel wrote:
Running at the same rate, 8 identical machines can produce 560 paperclips a minute. At this rate, how many paperclips could 20 machines produce in 6 minutes?

A. 1344
B. 3360
C. 8400
D. 50400
E. 67200

Kudos for a correct solution.

Solution:

We see that one machine can produce 560/8 = 70 paperclips per minute; therefore, 20 machines can produce 20 x 70 x 6 = 8400 paperclips in 6 minutes.

Answer: C
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Hadiagh
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Running at the same rate, 8 identical machines can produce 560 papercl [#permalink] New post   13 Mar 2021, 03:52
Rate of 8 machines=560 per min
rate of 1 machine=(560/8)=70 per min
rate of 20 machines=(20*70)=1400 per min

W=R*T
W=1400*6
W=8400

Answer: C
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