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?

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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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
(i) %281%2F10%29%2Ax+%2B+%281%2F14%29%2Ax+=+1
step 1 - multiply by 70 to get
(ii) 7x+%2B+5x+=+70
add like terms to get
(iii) 12x+=+70
divide by 12 to get
(iv) x+=+70%2F12
it will take them about ~ 5.833 hours together.