SOLUTION: A new printer can print a set of newsletters in 17 minutes less than an older printer can. If both printers work​ simultaneously, they can print the set of newsletters in 40
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Question 1052074: A new printer can print a set of newsletters in 17 minutes less than an older printer can. If both printers work simultaneously, they can print the set of newsletters in 40 minutes. How long does it take the older printer alone to print the set of newsletters?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A new printer can print a set of newsletters in 17 minutes less than an older printer can. If both printers work simultaneously, they can print the set of newsletters in 40 minutes. How long does it take the older printer alone to print the set of newsletters?
New printer :: time = x-17 min/job ; rate = 1/(x-17) job/min
Old printer :: time = x min/job ; rate = 1/x job/min
Together :: time = 40 min/job ; rate = 1/40 job/min
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Equation:
rate + rate = rate
1/(x-17) + 1/x = 1/40
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40x + 40(x-17) = x(x-17)
80x - 680 = x^2 - 17x
x^2 - 97x + 680 = 0
x = 89.4 min (time for the the old printer to do the job)
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Cheers,
Stan H.
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