SOLUTION: two inlet pipes can fill an empty swimming pool in 3 days and 6 days respectively. A pump can empty a full pool in 4 days. How long will it take to fill the empty if both pipes are

Question 658820: two inlet pipes can fill an empty swimming pool in 3 days and 6 days respectively. A pump can empty a full pool in 4 days. How long will it take to fill the empty if both pipes are open and the pump is on
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
two inlet pipes can fill an empty swimming pool in 3 days and 6 days respectively. A pump can empty a full pool in 4 days. How long will it take to fill the empty if both pipes are open and the pump is on
.
Let x = time (days) to fill pool
then
x(1/3 + 1/6 - 1/4) = 1
x(4/12 + 2/12 - 3/12) = 1
x(6/12 - 3/12) = 1
x(3/12) = 1
x(3) = 12
x = 4 days (answer)
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