Question 798501
The job to be done is "fill the pool".  The filling rate is {{{1/32}}} and the emptying rate is like the opposite of a fill rate, in this problem, {{{-(1/33)}}}.  


The rate of fill with both pipes open at the same time is {{{1/32-1/33=(33-32)/(32*33)}}} pool per hour.   POSITIVE, because this situation FILLS the pool, although very slowly.


The amount of pool to be filled is {{{1/3}}}, because it is already 2/3 filled.
Let h = time in hours to fill this 1/3 of the pool.


{{{highlight(((1)/(32*33))h=1/3)}}}
Find h.