SOLUTION: Sam can paint a house in 5 days by himself, while Betty can paint the same house in 20 days. How long would it take Sam and Betty to paint the house together?

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Question 911884: Sam can paint a house in 5 days by himself, while Betty can paint the same house in 20 days. How long would it take Sam and Betty to paint the house together?
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
1/a+1/b=1/x
1/5+1/20=1/x
20/100+5/100=1/x
25/100=1/x
x=100/25
x=4 days working together
check
x/a+x/b=1
x/5+x/20=1
4/5+4/20=1
0.8+0.2=1
1=1
ok
codewt

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