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Running at the same constant rate, 6 identical machines can produce a

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Manager
Joined: 10 Sep 2005
Posts: 162

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Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 13:56
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:51) correct 9% (01:18) wrong based on 155 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: running-at-the-same-constant-rate-6-identical-machines-can-137536.html
[Reveal] Spoiler: OA

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Senior Manager
Joined: 02 Oct 2005
Posts: 297

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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 15:21
6 identical machines can produce a total of 270 bottles per minute

-> Hence 1 machine can produce 270/6 bottles per min

how many bottles could 10 such machines produce in 4 minutes

-> 10 * 4 * 270/6
= 1800

Ans: 1800

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Manager
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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 15:58
i too got it as 1800.....but the OA says 10,800 ?????

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Manager
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Location: Fringes of the Boreal, Canada
Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 16:15
6/270 = 10/X
6X=2700
X=450/minute

Therefore, it will produce 1800 in 4 minutes. No?

What book are you using?

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Manager
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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 16:34
i know this question is in the OG...but I did it from one of the on-line test and it showed wrong

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Manager
Joined: 01 Aug 2005
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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 22:27
Guys, you have to be careful when reading the question!

It does not say that they produce 270 bottles together, it says that 6 identical machines produce 270 bottles!

So 10 machines can produce 2700 bottles in total.

in 4 minutes 10 machines produce 2700x4=10800

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SVP
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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 22:44
xennie wrote:
Guys, you have to be careful when reading the question!
It does not say that they produce 270 bottles together, it says that 6 identical machines produce 270 bottles!
So 10 machines can produce 2700 bottles in total.
in 4 minutes 10 machines produce 2700x4=10800

no, it says 6 idential machines can produce a total of 270 bottles in a minuet. check the below.

sushom101 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

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Manager
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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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29 Oct 2005, 22:53
Quote:
no, it says 6 idential machines can produce a total of 270 bottles in a minuet. check the below.

Just came home after a long night out and am a bit out of it so to speak -I could swear that I have seen this question in some book a while back and it said "270 bottles a minute each", hence the OA being 10800. Guess I should have read the first post more closely
I do not understand why the question stem would tell us anything about running at the same constant rate if it meant 6 machines produce 270 bottles though.

Could you please post the book and page you got the question from, as well as the OE.

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Current Student
Joined: 29 Jan 2005
Posts: 5201

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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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30 Oct 2005, 03:54
Sushom, you must have a typo in your OG. I just double checked, this is problem #19 and the OA is indeed 1800.

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Intern
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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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15 Nov 2014, 03:45
Ok so I did this to cut corners and avoid counting. There's just no way I'm gonna start calculating that 40*270= 10 800 and divide this by 6 to get 1800, no way. I hate doing math in my head, seriously...
So I just said that ok 40*270 is roughly the same as 6*7*270 (ok 6*7 is 42 but answers are so far apart it's not gonna matter)
when dividing 6*7*270/6 I only had 7*270 left which is 1890. So cleary then 1800 is closest and the answer option.
Did you guys all calculate that out on paper or did you cut corners in some other way that's not apparent to me?

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Math Expert
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Re: Running at the same constant rate, 6 identical machines can produce a [#permalink]

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15 Nov 2014, 05:09
2
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Expert's post
sushom101 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

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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: running-at-the-same-constant-rate-6-identical-machines-can-137536.html
_________________

Kudos [?]: 132708 [2], given: 12335

Re: Running at the same constant rate, 6 identical machines can produce a   [#permalink] 15 Nov 2014, 05:09
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