SOLUTION: Tara plans to take a bath, but forgets to close the drain. The bath usually takes 10 minutes to fill and 12 minutes to empty. How long will it be before the bath is filled if Tara

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Question 179920: Tara plans to take a bath, but forgets to close the drain. The bath usually takes 10 minutes to fill and 12 minutes to empty. How long will it be before the bath is filled if Tara continues not to notice that the drain is open?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
bath to fill 1/10 of bath per minute
bath to drain 1/12 of the bath per minute
:
together
:
(-1/12)+(1/10)
:
(-5/60)+(6/60)=+1/60
:
so under these given conditions: it will fill 1/60 of bath per minute
:
It will therefore take 60 minutes to fill the bath under this scenario