SOLUTION: one stamping machine can process a batch of labels in 18 minutes. A new model can process a batch in 12 minutes. How long would it take both machines working together to process a

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Question 591491: one stamping machine can process a batch of labels in 18 minutes. A new model can process a batch in 12 minutes. How long would it take both machines working together to process a batch of labels?
This question is extra credit becaause she has not taught it to us. thanks so much for helping!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add the rates of processing to get the rate of both together
First machine's rate:
( 1 batch ) / ( 18 min )
Second machine's rate:
( 1 batch ) / ( 12 min )
Let +t+ = minutes to process with both machines
+1%2F18+%2B+1%2F12+=+1%2Ft+
+2%2F36+%2B+3%2F36+=+1%2Ft+
+5%2F36+=+1%2Ft+
+t+=+36%2F5+
+t+=+7.2+
It takes both machines together 7.2 minutes