SOLUTION: A painter can paint a kitchen in 3 hours. An apprentice can paint the same kitchen in 6 hours. If they worked together, how long would it take them to paint the kitchen?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A painter can paint a kitchen in 3 hours. An apprentice can paint the same kitchen in 6 hours. If they worked together, how long would it take them to paint the kitchen?      Log On


   



Question 780897: A painter can paint a kitchen in 3 hours. An apprentice can paint the same kitchen in 6 hours. If they worked together, how long would it take them to paint the kitchen?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Painter's rate = 1/3 job/hr
Apprentice's rate = 1/6 job/hr
Together rate = 1/x job/hr
1/3 + 1/6 = 1/x
Common denominator = 6x
2x + x = 6
3x = 6
x = 2 hours.
Together they can paint the kitchen
in 2 hours.
Hope this helped.
:-)