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Question 1102774: If the owner of a house can paint it entirely in 20 days but a professional can paint in 14 days, then how much time will it take to paint the entire house if both painters worked together?
Please provide me steps. I don't know if I answered this correctly.
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! in one day, the owner paints 1/20 of the house
in one day, the professional paints 1/14 of the house
in x days, working together, they paint the whole house.
So, (x/20)+(x/14)=1
multiply by 140
7x+10x=140
17x=140
x=8.24 days ANSWER
8.24/20+ 8.24/14=1
Answer by josgarithmetic(39630)  (Show Source):
You can put this solution on YOUR website! R, rate
T, time
J, job, amount of work, piece of work
RT=J, basic work rates rule
The work rates for the owner and the professional painter can take the rate unit of  , and if they work together, the individual rates are simply ADDED.
You really do not need to use the RT=J work rate rule.
Owner works at  house per days.
Professional works at  house per days.
Combined, 
 , in  ;
You want the reciprocal for how many DAYS for 1 house.
 
 
About 8 and a quarter days.
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