SOLUTION: Danny and Josh are going to go help paint Josh�s neighbor�s fence. Josh painted the fence by himself two years ago. Four years ago, Danny painted the same fence and did it 9 hours

Question 962771: Danny and Josh are going to go help paint Josh�s neighbor�s fence. Josh painted the fence by himself two years ago. Four years ago, Danny painted the same fence and did it 9 hours faster than Josh. Together, Danny and Josh finished painting the fence in just 7 hours. Show how long it takes for Danny and Josh to paint the fence if they were each doing it by themselves.
Answer by josgarithmetic(39628) (Show Source): You can put this solution on YOUR website!
Let x be the time for Josh alone to paint the fence.

PERSON__________RATE
Josh____________1/x
Danny___________1/(x-9)
Josh&Danny______1/7

The rate of both people working together will be the sum of the individual rates.

Use ordinary fraction skills. LCD is .
Multiply both members by and simplify before solving for x.
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