SOLUTION: How do you solve this working together problem?
Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. I
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-> SOLUTION: How do you solve this working together problem?
Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. I
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Question 52417: How do you solve this working together problem?
Patrice, by himself, can paint four rooms in 10 hours. If he hires April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms? Found 2 solutions by stanbon, Paul:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Patrice DATA:
time=10 hr/job ; rate= 1/10 job/hr.
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Together DATA:
time=6 hr/job ; rate = 1/6 job/hr.
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April DATA:
time= x hr/job ; rate = 1/x job/hr.
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EQUATION:
Patrice rate + April Rate = Together rate
1/10 + 1/x = 1/6
Multiply thru by 30x to get:
3x + 30 = 5x
2x=30
x=15
April would take 15 hours to do the job.
Cheers,
Stan H.
You can put this solution on YOUR website! April can do the job is x hours;
EQUATION:
10x-6x=60
4x=60
x=15
Hence, April can do the job in 15 hours.
Paul.
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