SOLUTION: If one painter can paint a house in 5 days and another painter can paint the same house in 3 days, how long will it take them to paint the house if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If one painter can paint a house in 5 days and another painter can paint the same house in 3 days, how long will it take them to paint the house if they work together?      Log On


   

Question 845455: If one painter can paint a house in 5 days and another painter can paint the same house in 3 days, how long will it take them to paint the house if they work together?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

how long +highlight_green%28x%29 will it take them to paint the house if they work together?

 1/5 + 1/3 = 1/x         |Multiplying thru by 15x so as all denominators = 1  

 3x + 5x = 15

   8x = 15

   x = 15/8 days    0r    1 7⁄8  days