SOLUTION: if a homeowner can paint a house in 14 days and a professional painter can paint it in 10 days, how long will it take if they work together?

Question 260893: if a homeowner can paint a house in 14 days and a professional painter can paint it in 10 days, how long will it take if they work together?
Found 2 solutions by richwmiller, drk:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x/14+x/10=1
x=35/6=5 5/6 days= 5 days 20 hrs

Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
(i)
step 1 - multiply by 70 to get
(ii)
add like terms to get
(iii)
divide by 12 to get
(iv)
it will take them about ~ 5.833 hours together.
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