SOLUTION: Can someone help me please. I do not know how to work out this problem. There are two machines that produce aluminum cans. The newer machine can produce 6600 cans in 220 minut

Question 387576: Can someone help me please. I do not know how to work out this problem.
There are two machines that produce aluminum cans. The newer machine can produce 6600 cans in 220 minutes. It takes the older machine 330 minutes to produce that many cans. If the two machines work together, how long will it take them to produce cans?
Thank you so much I am confused.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of time it takes both machines working together to produce 6600 cans
Then both machines working together works at the rate of 6600/x cans per min
The newer machine works at the rate of 6600/220 = 30 cans per min
The older machine works at the rate of 6600/330=20 cans per min
Then both machines work at the rate of 30+20=50 cans per min
Soooooo, our equation to solve is:
50=6600/x
50x=6600
x=132 min ----time it takes both machines working together to produce 6600 cans
CK
In 132 min, the newer machine produces 30*132=3960 cans
In 132 min the older machine produces 20*132=2640 cans
3960+2640=6600
6600=6600
Hope this helps---ptaylor

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