SOLUTION: Jack and Jill can wash a carpet together in 1 hour and 30 minutes. Washing alone, it takes Jill 2 hours and 10 minutes to get the carpet clean. How long does it take Jack to wash t
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-> SOLUTION: Jack and Jill can wash a carpet together in 1 hour and 30 minutes. Washing alone, it takes Jill 2 hours and 10 minutes to get the carpet clean. How long does it take Jack to wash t
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Question 98385: Jack and Jill can wash a carpet together in 1 hour and 30 minutes. Washing alone, it takes Jill 2 hours and 10 minutes to get the carpet clean. How long does it take Jack to wash the carpet by himself? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Jack and Jill can wash a carpet together in 1 hour and 30 minutes. Washing alone, it takes Jill 2 hours and 10 minutes to get the carpet clean. How long does it take Jack to wash the carpet by himself?
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Together DATA;
Time = 90 minutes/job ; Rate = 1/90 job/min
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Jill DATA:
Time = 130 min/job ; Rate = 1/130 job/min
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Jack DATA;
Time = x min/job ; Rate = 1/x job/min
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EQUATION:
Jill rate + Jack Rate = Together Rate
1/130 + 1/x = 1/90
(x+130)/130x = 1/90
130x = 90(x+130)
130x = 90x + 90*130
40x = 90*130
x = 292.5 minutes (Time it would take Jack to do the job)
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Cheers,
Stan H.
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