SOLUTION: If it takes a person 9 hours to paint a fence and it takes another person 5 how long will it take both of them to paint the fence working together

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Question 545850: If it takes a person 9 hours to paint a fence and it takes another person 5 how long will it take both of them to paint the fence working together
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
A rate: 1/9 job/hr
B rate: 1/5 job/hr
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Together rate: 1/x job/hr
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Equation:
A rate + B rate = together rate
1%2F9%2B1%2F5=1%2Fx multiply everything by (9*5*x)
5x%2B9x=45 add like terms
14x=45 divide by 14
x=3.2143 hrs