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) About Me  (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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