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# Running at the same constant rate, 6 identical machines can

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Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 03:05
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93% (01:49) correct 6% (00:24) wrong based on 15 sessions
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

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GMAT Club team member
Joined: 02 Sep 2009
Posts: 11515
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Kudos [?]: 9534 [0], given: 826

Re: Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 03:05
SOLUTION

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

6 machines produce 270 bottles per minute;
1 machine produces 270/6=45 bottles per minute;
10 machines produce 45*10=450 bottles per minute;

In 4 minutes 10 machines produce 450*4=1,800 bottles.

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Kudos [?]: 27 [0], given: 45

Re: Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 08:30
Ans=(270*10*4)/(6)
=1800

option B.
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+1 if you like my explanation .Thanks

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Kudos [?]: 10 [0], given: 5

Re: Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 09:52
Each machine can produce (270/6) = 45 bottles per minute

45 * 10 = 450 bottles per minute

450 * 4 = 1800 bottles in 4 minutes.
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11515
Followers: 1791

Kudos [?]: 9534 [0], given: 826

Re: Running at the same constant rate, 6 identical machines can [#permalink]  24 Aug 2012, 02:22
SOLUTION

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A) 648
(B) 1,800
(C) 2,700
(D) 10,800
(E) 64,800

6 machines produce 270 bottles per minute;
1 machine produces 270/6=45 bottles per minute;
10 machines produce 45*10=450 bottles per minute;

In 4 minutes 10 machines produce 450*4=1,800 bottles.

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Joined: 04 Apr 2013
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Kudos [?]: 1 [0], given: 0

Re: Running at the same constant rate, 6 identical machines can [#permalink]  12 Apr 2013, 10:11
Let's take the approach that uses the answer choices to eliminate wasted time.

270/6 is a little less than 300/60 = 50 bottles per minute per machine. 10 machines = 500 per minute. 4 minutes worth = 2000 bottles as being slightly HIGHER than the answer we need.

Looking at the answers it is clear...we can only choose (B) 1800 bottles starting with an upper bound of 2000.
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Kudos [?]: 17 [0], given: 43

Running at the same constant rate, 6 identical machines can prod [#permalink]  22 Apr 2013, 18:33
270/6 = 45 BPM X 10 Machines = 450 BPM X 4 MIN = 1,800.

Kudos if this is easier!
Running at the same constant rate, 6 identical machines can prod   [#permalink] 22 Apr 2013, 18:33
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