SOLUTION: Jill can paint a french in eight hours. Stefan can paint the same fence in ten hours. How long would it take them if they worked together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jill can paint a french in eight hours. Stefan can paint the same fence in ten hours. How long would it take them if they worked together?      Log On


   

Question 611021: Jill can paint a french in eight hours. Stefan can paint the same fence in ten hours. How long would it take them if they worked together?
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
What is a french? Anything like a fence?
x/8+x/10=1
10x+8x=80
18x=80
9x=40
x=40/9

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jill can paint a fench in eight hours. Stefan can paint the same fence in ten hours. How long would it take them if they worked together?
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Jill rate: 1/8 job/hr
Stef rate: 1/10 job/hr
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Together rate: 1/x job/hr
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Equation:
rate + rate = together rate
1/8 + 1/10 = 1/x
10x + 8x = 80
18x = 80
x = 4.44 hrs = 4 hr 27 minutes
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Cheers,
Stan H.
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