Kate and jean paint a house together in 6 days. if they work alone, kate takes 5 fewer days than jean would take to do the same job. which equation represents the time it takes kate to paint the house by herself? x^2-7x-30=0 x^2-5x-6=0 2x-1=0 x^2-5x/6=0

X = number of days it would take Kate to paint the house by herself. .
x+5 = number of days it would take Jean to paint the house by herself.
Together, they paint the house in 6 days: 
1/x + 1/(x+5) = 1/6 
Multiply both sides by 6x(x+5) 
6(x+5) + 6x = x(x+5) 
12x + 30 = x^2 + 5x 
x^2 − 7x − 30 = 0 
therefore the answer is A.

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