SOLUTION: If Judy and Anne work together at a certain job, it takes them 1 hour. It would take Judy three hours more than Anne to do the job alone. Approximately how long would it take Anne

Question 305292: If Judy and Anne work together at a certain job, it takes them 1 hour. It would take Judy three hours more than Anne to do the job alone. Approximately how long would it take Anne to do the job alone?
Please help solve this I will appreciate it. thanks.

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
(1/a) + [1/(a+3)] = 1

multiplying by a(a+3) ___ a+3 + a = a(a+3) ___ 2a + 3 = a^2 + 3a

0 = a^2 + a - 3 ___ use quadratic formula to find "a"
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