SOLUTION: Two machines work together and complete work in 2 hours 24 minutes. If one machine works on its own it takes 2 hours longer than the other machine.How long does it take the slower
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Question 751483: Two machines work together and complete work in 2 hours 24 minutes. If one machine works on its own it takes 2 hours longer than the other machine.How long does it take the slower machine to complete the work on its own?? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Two machines work together and complete work in 2 hours 24 minutes. If one machine works on its own it takes 2 hours longer than the other machine.How long does it take the slower machine to complete the work on its own??
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Together rate: 1/144 job/min
Slower mach. rate: 1/(x+120) job/min
Faster mach. rate: 1/x job/min
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Equation:
rate + rate = together rate:
1/x + 1/(x+120) = 1/144
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144(x+120) + 144x = x(x+120)
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144x + 144*120 + 144x = x^2 + 120x
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x^2 - 168x - 144*120 = 0
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x = 240 minutes (time for the faster worker)
x+120 = 360 min (time for the slower worker)
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Cheers,
Stan H.
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