SOLUTION: a garden hose can fill a hot tub in 180 minutes, whereas the drain on a hot tub can empty it in 540 minutes. if the drain is accidentally left open, how long will it take to fill t

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Question 959784: a garden hose can fill a hot tub in 180 minutes, whereas the drain on a hot tub can empty it in 540 minutes. if the drain is accidentally left open, how long will it take to fill the tub?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
a garden hose can fill a hot tub in 180 minutes, whereas the drain on a hot tub can empty it in 540 minutes. if the drain is accidentally left open, how long will it take to fill the tub?
.
let t = time (minutes) to fill tub
then
t(1/180 - 1/540) = 1
multiply both sides by 540:
t(3 - 1) = 540
t(2) = 540
t = 540/2
t = 279 minutes