SOLUTION: If BIll can clean the garage in 4 hours and John can clean the same garage in 3 hours, how many hours will it take them to clean the garage if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If BIll can clean the garage in 4 hours and John can clean the same garage in 3 hours, how many hours will it take them to clean the garage if they work together?      Log On


   



Question 751558: If BIll can clean the garage in 4 hours and John can clean the same garage in 3 hours, how many hours will it take them to clean the garage if they work together?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If BIll can clean the garage in 4 hours and John can clean the same garage in 3 hours, how many hours will it take them to clean the garage if they work together?
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Bill rate: 1/4 job/hr
John rate: 1/3 job/hr
together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/4 + 1/3 = 1/x
3x + 4x = 12
7x = 12
x = 12/7 = 1 5/12 = 1hr 25 min (time to do the job together)
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Cheers,
Stan H.
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