It takes 10 minutes to fill Alishas bathtub and 12 minutes to drain the water out. How long would it take to fill it with the drain accidentally left open?

Question

anonymous · Answer

The sad thing is I know this is probably super obvious.

aroub · Answer

LOL! and the MORE sad thing is I dont know how to solve it! :P

anonymous · Answer

Hopefully someone comes in and enlightens us, haha.

aroub · Answer

yea.. I'm sure someone will come! :D

anonymous · Answer

fills at rate of 1/10 per minute, drains at rate of 1/12 per minute. combined rate is 
$$\frac{1}{10}-\frac{1}{12}=\frac{1}{60}$$ per minute

anonymous · Answer

so it will take 60 minutes = 1 hour to fill

anonymous · Answer

Wow yeah that was really simple. Thanks for showing me how to set that up my friend!