SOLUTION: Can you please help me solve this question? One computer printer can print a company's mailing labels in 40 minutes. A second printer would take 60 minutes to print the labels.
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Question 346693: Can you please help me solve this question? One computer printer can print a company's mailing labels in 40 minutes. A second printer would take 60 minutes to print the labels. How long would it take the two printers, operating together, to print the labels? Thank you. Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let x= time it takes both computers working together
Then both computers print at the rate of 1/x mailing labels per min
First computer prints at the rate of 1/40 mailing labels per min
Second computer prints at the rate of 1/60 mailing labels per min
So:
1/40 + 1/60 = 1/x multiply each term by 120x
3x+2x=120
5x=120
x=24 min---------time required when both computers work together
CK
In 24 min first computer completes (1/40)*24=24/40 of the mailing labels
In 24 min second computer completes (1/60)*24=24/60 of the mailing labels
So 24/60 +24/40 should equal 1 (job that is)
24/60=48/120
24/40=72/120
48/120 + 72/120 = 120/120=1 job
Hope this helps--ptaylor
