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

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Math Expert
Joined: 02 Sep 2009
Posts: 61549
Running at the same rate, 8 identical machines can produce 560 papercl  [#permalink]

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27 Feb 2015, 05:01
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5% (low)

Question Stats:

95% (01:06) correct 5% (01:45) wrong based on 257 sessions

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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

Kudos for a correct solution.

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Posts: 1867
Re: Running at the same rate, 8 identical machines can produce 560 papercl  [#permalink]

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27 Feb 2015, 09:08
2
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.

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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Joined: 18 Aug 2014
Posts: 111
Location: Hong Kong
Schools: Mannheim
Re: Running at the same rate, 8 identical machines can produce 560 papercl  [#permalink]

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27 Feb 2015, 11:32
1
560 / 8 = 70 / min

20 * 70 = 1400 / min

1400 * 6 = 8400

Manager
Joined: 26 May 2013
Posts: 91
Re: Running at the same rate, 8 identical machines can produce 560 papercl  [#permalink]

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27 Feb 2015, 11:54
1
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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Manager
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Re: Running at the same rate, 8 identical machines can produce 560 papercl  [#permalink]

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27 Feb 2015, 06:44
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
Math Expert
Joined: 02 Sep 2009
Posts: 61549
Re: Running at the same rate, 8 identical machines can produce 560 papercl  [#permalink]

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02 Mar 2015, 04:48
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.

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Re: Running at the same rate, 8 identical machines can produce 560 papercl  [#permalink]

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27 May 2019, 22:26
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Re: Running at the same rate, 8 identical machines can produce 560 papercl   [#permalink] 27 May 2019, 22:26
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