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Eight identical machines can produce 360 aluminum cans per

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Eight identical machines can produce 360 aluminum cans per [#permalink] New post 07 Jun 2011, 13:31
00:00
A
B
C
D
E

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Question Stats:

97% (01:45) correct 3% (00:42) wrong based on 107 sessions
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, 03:42, edited 1 time in total.
Renamed the topic.
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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink] New post 07 Jun 2011, 13:38
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] New post 08 Jun 2011, 02:16
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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

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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink] New post 10 Jun 2011, 21:26
simple unitary method...answer A

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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink] New post 21 Sep 2012, 03:38
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] New post 21 Sep 2012, 03:47
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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.

Answer: A.

Hope it's clear.

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Re: Eight identical machines can produce 360 aluminum cans per [#permalink] New post 21 Sep 2012, 04:06
Thanks man. I appreciate your prompt reply :-D !!
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Re: Eight identical machines can produce 360 aluminum cans per [#permalink] New post 15 Nov 2012, 03:16
\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] 15 Nov 2012, 03:16
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