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

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) (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

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