Question 333049
A painter can paint a certain house in 12 days. Working with his partner, the two can paint the house in 4 days. How long would it take the partner working alone to paint the house?
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Let x = number of days for partner to paint house by himself
then
4(1/12 + 1/x) = 1
Multiplying both sides by 12x:
4(x + 12) = 12x
4x + 48 = 12x
48 = 8x
6 days = x