SOLUTION: julie paints a house in 4 hours and ken paints the same house in 5 hours. If julie and ken work together, they can paint the house in how many hours and minutes

Algebra ->  Rate-of-work-word-problems -> SOLUTION: julie paints a house in 4 hours and ken paints the same house in 5 hours. If julie and ken work together, they can paint the house in how many hours and minutes       Log On


   

Question 807100: julie paints a house in 4 hours and ken paints the same house in 5 hours. If julie and ken work together, they can paint the house in how many hours and minutes
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Work rates add linearly, so that:


1/4 +1/5 = 1/t
t=(4*5)/(4+5)=20/9


t= 2 2/9 hours



converting the fraction to minutes
(2/9)*60= 13 1/3
1/3 of a minute is 20 sec, so...that the time is 2 hrs, 13 minutes and 20 sec