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# Eight identical machines can produce 360 aluminum cans per

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Manager
Joined: 28 Jan 2011
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Eight identical machines can produce 360 aluminum cans per [#permalink]

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07 Jun 2011, 14:31
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This post was
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Difficulty:

5% (low)

Question Stats:

93% (01:58) correct 7% (01:02) wrong based on 360 sessions

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Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 3 hours?

A. 675
B. 750
C. 1,800
D. 5,900
E. 7,500
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Sep 2012, 04:42, edited 1 time in total.
Renamed the topic.
Manager
Joined: 28 Jan 2011
Posts: 76
Location: Tennessee
Schools: Belmont University
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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink]

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07 Jun 2011, 14:38
8 machines/ 360 cans = 5 machines/ x cans
8x= 1800
x=225

(225)(3 hours)= 675 cans. The answer is A.
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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink]

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08 Jun 2011, 03:16
1
KUDOS
Hi, if 8 machines make 360 then 5 would make
8:360
5:x
X= 225
so in 3 hours it would be 225*3=675

Posted from GMAT ToolKit
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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink]

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10 Jun 2011, 22:26
_________________

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If you like my explanations award kudos.

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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink]

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21 Sep 2012, 04:38
Hi Everyone,

I have a question, can we solve this question using the W=RT method ? Please reply.. if yes.. please tell me as i am getting wrong answer if i go that way !!

Thanks
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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink]

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21 Sep 2012, 04:47
3
KUDOS
Expert's post
154238 wrote:
Hi Everyone,

I have a question, can we solve this question using the W=RT method ? Please reply.. if yes.. please tell me as i am getting wrong answer if i go that way !!

Thanks

Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 3 hours?

A. 675
B. 750
C. 1,800
D. 5,900
E. 7,500

(rate of one machine)*(number of machines)*(time)=(work done) --> (rate of one machine)*8*1=360 --> (rate of one machine)=45 cans per hour.

Now, 5 such machines in 3 hours can produce (rate of one machine)*(number of machines)*(time)=45*5*3=675 cans.

Hope it's clear.
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Re: Eight identical machines can produce 360 aluminum cans per [#permalink]

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21 Sep 2012, 05:06
Senior Manager
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Re: Eight identical machines can produce 360 aluminum cans per [#permalink]

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15 Nov 2012, 04:16
$$\frac{8}{M}=\frac{360cans}{1hr}==>\frac{1}{M} = 45cans/1hr$$

Calculate 5 machines doing work in 3 hours.
$$W=(5)(\frac{45cans}{1hr})(3hrs)==>W=675cans$$
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Re: Eight identical machines can produce 360 aluminum cans per [#permalink]

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16 Jan 2016, 10:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Eight identical machines can produce 360 aluminum cans per [#permalink]

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05 Jul 2016, 06:49
MitDavidDv wrote:
Eight identical machines can produce 360 aluminum cans per hour. If all of the machines work at the same constant rate, how many cans could 5 such machines produce in 3 hours?

A. 675
B. 750
C. 1,800
D. 5,900
E. 7,500

rt=w
8(rt)=360

rt=45

t=1 ===> r=45

rt=w

r=45
t=3

n=5

5rt=5(45*3)=675
Re: Eight identical machines can produce 360 aluminum cans per   [#permalink] 05 Jul 2016, 06:49
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