Question

It takes 8 minutes to fill Alisha's bathtub and 12 minutes to drain the water out. How long would it take to fill it with the drain accidentally left open?

Answer 1

Answer: It will take 24 minutes to fill it with the drain accidentally left open.

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 =
`(1)/(8)`

Work done to drain out =
`(-1)/(12)`

So, Work done to fill it with the drain accidentally left open would be

`(1)/(8)-(1)/(12)\\\\=(3-2)/(24)\\\\=(1)/(24)`

Hence, it will take 24 minutes to fill it with the drain accidentally left open.