SOLUTION: The OfficeJet Printer can copy Maria's document in 8 minutes. The LaserJet printer can copy the same document in 12 minutes. If the two machines work together, how long would it

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Question 259068: The OfficeJet Printer can copy Maria's document in 8 minutes. The LaserJet printer can copy the same document in 12 minutes. If the two machines work together, how long would it take to copy the document?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The OfficeJet Printer can copy Maria's document in 8 minutes.
The LaserJet printer can copy the same document in 12 minutes.
If the two machines work together, how long would it take to copy the document?
:
Let t = time required when both machines work together
Let the complete job = 1; (copying the document)
:
A typical shared work equation:
t%2F8 + t%2F12 = 1
Clear the denominators, multiply by 24, results:
3t + 2t = 24(1)
5t = 24
t = 24%2F5
t = 4.8 min or 4 min + .8(60) = 48 seconds
;
:
Check solution
4.8/8 + 4.8/12 =
.6 + .4 = 1