SOLUTION: if tim could paint a house in 3 hours and jon could paint a house in 5 hours how long would it take for the both of them to paint one house together?

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Question 259623: if tim could paint a house in 3 hours and jon could paint a house in 5 hours how long would it take for the both of them to paint one house together?
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x/3+x/5=1
5x+3x=15
8x=15
x=15/8= 1 7/8 hour

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if tim could paint a house in 3 hours and jon could paint a house in 5 hours how long would it take for the both of them to paint one house together?
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Tim's rate is 1/3 job/hr
Jon's rate is 1/5 job/hr
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Together rate is 1/x job/hr
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Equation:
rate + rate = together rate
1/3 + 1/5 = 1/x
5x + 3x = 15
8x = 15
x = 15/8 = 1 7/8 hrs (time for them to do the job together)
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Cheers,
Stan H.