Posted by Sue on Saturday, September 12, 2009 at 4:02pm.
The officejet printer can copy Sue's dissertation in 18 min. The laserjet printer can copy the same document in 22 min. If the two machines work together how long would they take to copy the dissertation?
Any help would be greatly appreciated.

Math  bobpursley, Saturday, September 12, 2009 at 4:07pm
In 18*22min, laserjet can do 22, and the officejet can do 18. So the rate is
rate= number/time= (18+22)/22*18=40/396min = 1dissertation/9.9 min
that answers it, but formally
dissertations= rate*time
time= dissertations/rate= 1dissertation/(1dissertation/9.9min)= 9.9 min

Math  Sue, Saturday, September 12, 2009 at 4:08pm
Would it be 99/10?

Math  Sue, Saturday, September 12, 2009 at 4:08pm
Thank you for your help.

Math  bobpursley, Saturday, September 12, 2009 at 4:09pm
yes, but few folks say 99/10 min, most would say 9.9 minutes, or 9 minutes 54seconds.
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