One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 9 hours. how long will it take the pipe to fill the pool if the drain is left open?

Inlet pipe can fill the pool in 6 hours, means: every hour the pool is filled 1/6

a drain can empty the pool in 9 hours, means: every hour the pool is drained 1/9

If the inlet and the drain are both left open, every hour the pool is filled 1/6-1/9=1/18

It will take 18 hours to fill up the pool.