SOLUTION: If paul takes 4hrs to paint a house and sue takes 6hrs to paint the same house how long would it take if they worked together?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: If paul takes 4hrs to paint a house and sue takes 6hrs to paint the same house how long would it take if they worked together?      Log On


   

Question 316963: If paul takes 4hrs to paint a house and sue takes 6hrs to paint the same house how long would it take if they worked together?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = time it takes for both
then
x(1/4 + 1/6) = 1
multiplying both sides by 24:
x(6 + 4) = 24
x(10) = 24
x = 2.4 hours
or
x = 2 hours and 24 minutes