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Question 341207: Parallel processing uses two or more computers, working together, to solve a single problem. Using parallel processing, two computers can solve a problem in 20 minutes. If, working alone, one computer can solve a problem in 9 minutes less than the time needed by the second computer, how long would it take the faster computer working alone to solve the problem?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Parallel processing uses two or more computers, working together, to solve a single problem. Using parallel processing, two computers can solve a problem in 20 minutes. If, working alone, one computer can solve a problem in 9 minutes less than the time needed by the second computer, how long would it take the faster computer working alone to solve the problem?
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together rate = 1/20 min/job
one comp. rate = 1/(x-9) min/job
2nd comp. rate = 1/x min/job
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Equation:
rate + rate = together rate
1/x + 1/(x-9) = 1/20
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20(x-9) + 20x = x(x-9)
40x-9*20 = x^2-9x
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x^2-49x + 180 = 0
Factor:
(x-45)(x-4) = 0
Realistic solution since 4-9 is negative:
x = 45 minutes
then
x-9 = 36 minutes (faster computer time to do the job)
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Cheers,
Stan H.
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