SOLUTION: An experienced painter can paint a fence twice as fast as an inexperienced painter. Working together, they can paint the fence in 4 hours. How long would it take the experienced pa

Question 512436: An experienced painter can paint a fence twice as fast as an inexperienced painter. Working together, they can paint the fence in 4 hours. How long would it take the experienced painter to paint it by himself?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
In words:
The rate of the 2 painters together is:
( 1 fence ) / ( 4 hrs )
Let = the time for the experienced painter
to paint 1 fence, so his rate is:
( 1 fence ) / ( t hrs )
The inexperienced painter will take twice as long:
( 1 fence ) / ( 2t ) hrs
-----------------
I can add their rates of painting to get the rate
when they work together

Multiply both sides by

The experienced painter takes
6 hrs to paint the fence alone
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