Question 302709
an inlet on a pool can be used to fill a pool in 34 hours.
 the drain pipe can be used to empty to empty a pool in 36 hours.
 If a pool was 1/3 full and the inlet and outlet are opened, how long will it take to fill the pool? 
:
Let t = time required to fill the pool under these conditions
:
Let the full pool = 1
:
The equation to fill the remaining 2/3 of the pool
:
{{{t/34}}} - {{{t/36}}} = {{{2/3}}}
multiply by 1224 (36*34) to clear the denominators
36t - 34t = 408(2)
2t = 816
t = 408 hrs to fill the pool