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

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Math Expert
Joined: 02 Sep 2009
Posts: 27243
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Kudos [?]: 41179 [1] , given: 5674

Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 02:05
1
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Expert's post
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Difficulty:

5% (low)

Question Stats:

93% (01:54) correct 7% (01:12) wrong based on 513 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

Practice Questions
Question: 23
Page: 155
Difficulty: 600
[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 27243
Followers: 4239

Kudos [?]: 41179 [0], given: 5674

Re: Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 02:05
Expert's post
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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Senior Manager
Joined: 19 Apr 2011
Posts: 290
Schools: Booth,NUS,St.Gallon
Followers: 4

Kudos [?]: 125 [0], given: 51

Re: Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 07:30
Ans=(270*10*4)/(6)
=1800

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

Manager
Joined: 28 Sep 2011
Posts: 70
Location: United States
GMAT 1: 520 Q34 V27
GMAT 2: 550 Q V
GMAT 3: 690 Q47 V38
GPA: 3.01
WE: Information Technology (Commercial Banking)
Followers: 1

Kudos [?]: 18 [0], given: 10

Re: Running at the same constant rate, 6 identical machines can [#permalink]  20 Aug 2012, 08:52
Each machine can produce (270/6) = 45 bottles per minute

45 * 10 = 450 bottles per minute

450 * 4 = 1800 bottles in 4 minutes.
Math Expert
Joined: 02 Sep 2009
Posts: 27243
Followers: 4239

Kudos [?]: 41179 [0], given: 5674

Re: Running at the same constant rate, 6 identical machines can [#permalink]  24 Aug 2012, 01:22
Expert's post
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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Intern
Joined: 04 Apr 2013
Posts: 27
Followers: 0

Kudos [?]: 11 [0], given: 4

Re: Running at the same constant rate, 6 identical machines can [#permalink]  12 Apr 2013, 09:11
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.
Manager
Joined: 17 Jul 2010
Posts: 123
Followers: 1

Kudos [?]: 28 [0], given: 43

Running at the same constant rate, 6 identical machines can prod [#permalink]  22 Apr 2013, 17:33
270/6 = 45 BPM X 10 Machines = 450 BPM X 4 MIN = 1,800.

Kudos if this is easier!
Manager
Joined: 07 Apr 2014
Posts: 148
Followers: 1

Kudos [?]: 10 [0], given: 81

Re: Running at the same constant rate, 6 identical machines can [#permalink]  10 Sep 2014, 00:08
Bunuel wrote:
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

Practice Questions
Question: 23
Page: 155
Difficulty: 600

6 identical machine produce 270bottles/min then 1machine - 45bottles/min

10 machine - 450 bottles/min

for 4 minutes--> 1800
Senior Manager
Joined: 23 Jan 2013
Posts: 287
Schools: Cambridge'16
Followers: 2

Kudos [?]: 43 [0], given: 31

Re: Running at the same constant rate, 6 identical machines can [#permalink]  15 Nov 2014, 20:52
better as fractions:

270*10/6*4/1=1800

B
SVP
Status: The Best Or Nothing
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Posts: 1858
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Followers: 22

Kudos [?]: 878 [0], given: 193

Re: Running at the same constant rate, 6 identical machines can [#permalink]  20 Nov 2014, 00:59

Equation would be

$$= \frac{270}{6} * 10 * 4 = 1800$$
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Re: Running at the same constant rate, 6 identical machines can   [#permalink] 20 Nov 2014, 00:59
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