Problema Solution

the OfficeJet printer can copy Maria's dissertation in 18 min. The LasterJet printer can copy the same documents in 10 min. if the two machines work together, hot long would they take to copy the dissertation?

Answer provided by our tutors

let 'x' be the time in minutes needed to copy the dissertation with the 2 printers working


the rate of the OfficeJet printer is 1/18


the rate of the LasterJet printer is 1/10


the rate of the both printers is 1/x


thus we have


1/18 + 1/10 = 1/x


by solving we get


x = 45/7


x = 6.43 min


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it take 6.43 minutes for the both printers to copy Maria's dissertation.