Answer: It will take 24 minutes to fill it with the drain accidentally left open.
Step-by-step explanation:
Since we have given that
Time taken to fill Alisha's bathtub = 8 minutes
Time taken to drain the water out = 12 minutes
Work done by Alisha's bathtub = [tex]\dfrac{1}{8}[/tex]
Work done to drain out = [tex]\dfrac{-1}{12}[/tex]
So, Work done to fill it with the drain accidentally left open would be
[tex]\dfrac{1}{8}-\dfrac{1}{12}\\\\=\dfrac{3-2}{24}\\\\=\dfrac{1}{24}[/tex]
Hence, it will take 24 minutes to fill it with the drain accidentally left open.
