One pipe can fill a tank in 6 hours while another can empty it in 2 hours. how long will it take to empty the full tank if both pipes are open at once

The drain pipe can drain (1/2) of the tank in 1 hour.

The fill pipe can fill (1/6) of the tank in 1 hour.

Working together, the pipes will drain the tank in (1/2) - (1/6) hours.

(1/2) - (1/6) = (3/6) - (1/6) = (2/6) or (1/3) of an hour.

So, working together, it will take 3 hours.