SOLUTION: Three computers can print out a task in 16 min, 24 min, and 48 min, respectively. How long would it take to complete the task with all three computers working?

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Question 885908: Three computers can print out a task in 16 min, 24 min, and 48 min, respectively. How long would it take to complete the task with all three computers working?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of printing
( 1 task / 16 min ) + ( 1 task / 24 min ) + ( 1 task / 48 min ) = ( rate printing together )
Let +t+ = time in minutes for all 3 printers to
do 1 task
+1%2F16+%2B+1%2F24+%2B+1%2F48+=+1%2Ft+
Multiply both sides by +48t+
+3t+%2B+2t+%2B+t+=+48+
+6t+=+48+
+t+=+8+
It takes 8 min to finish 1 task with all
3 computers working