Question 711800
I'm going to make x = time it takes larger pipe to fill the pool on its own.


----------------------------


2 1/3 = 2+1/3


2 1/3 = 6/3 + 1/3


2 1/3 = 7/3


---------------------------


1/x + 1/(2x) = 1/(7/3)


2/(2x) + 1/(2x) = 3/7


3/(2x) = 3/7


3*7 = 3*2x


21 = 6x


6x = 21


x = 21/6


x = 7/2


So it will take 7/2 hours or 3.5 hours for the larger pipe to fill the pool on its own.