SOLUTION: A painter can paint a kitchen in 8 hours. An apprentice can paint the same kitchen in 24 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 8 hours. An apprentice can paint the same kitchen in 24 hours. If they worked together, how long would it take them to paint the kitchen?      Log On


   



Question 774646: A painter can paint a kitchen in 8 hours. An apprentice can paint the same kitchen in 24 hours. If they worked together, how long would it take them to paint the kitchen?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
we can add their work rates, to solve for the time:
1/t=1/8+1/24
1/t=3/24+1/24
1/t=4/24
t=6

together they finish in 6 hrs