Eight identical machines can produce 360 aluminum cans per

Question

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

Bunuel · Accepted Answer

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.

MitDavidDv · Answer

8 machines/ 360 cans = 5 machines/ x cans
8x= 1800
x=225

(225)(3 hours)= 675 cans. The answer is A.

scbguy · Answer

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

https://gmatclub.com/static/posted_from.png     Posted from    GMAT ToolKit

puneetj · Answer

simple unitary method...answer A

154238 · Answer

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

154238 · Answer

Thanks man. I appreciate your prompt reply :-D

!!

mbaiseasy · Answer

\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

kamranko · Answer

rt=w
8(rt)=360

rt=45

t=1 ===> r=45

rt=w

r=45
t=3

n=5

5rt=5(45*3)=675

sasyaharry · Answer

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 .

ydmuley · Answer

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

Hence, Answer is A

bumpbot · Answer

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Eight identical machines can produce 360 aluminum cans per

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