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Eight identical machines can produce 360 aluminum cans per

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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink]
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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]
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Re: From MitDavidDv: Problem Solving Question-Rate [#permalink]
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: Eight identical machines can produce 360 aluminum cans per [#permalink]
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Re: Eight identical machines can produce 360 aluminum cans per [#permalink]
$$\frac{8}{M}=\frac{360cans}{1hr}==>\frac{1}{M} = 45cans/1hr$$

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]
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
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Re: Eight identical machines can produce 360 aluminum cans per [#permalink]
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Rate of each machine $$= \frac{360}{8}= 45$$
Rate of 5 machines $$= 45*5 = 225$$
Total cans from 5 machines in 3 hrs = Rate * time = 225*3

At this point the units digit comes out as 5 and I am a stickler for time. The only answer is A.
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Re: Eight identical machines can produce 360 aluminum cans per [#permalink]
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?

8 Machines - 360 Cans/Hour

1 Machine = 45 Cans/Hour

5 Machines in 3 Hours $$= 45 * 5 * 3 = 675$$

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