<PRE><B>Question 1135820</B>

 Working together, it takes two different sized hoses 30 minutes to fill a small swimming pool.
 If it takes 45 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
:
let t = time required by the smaller hose to fill the pool
let the completed job = 1 (a full pool)
:
Each will do a fraction of the job, the two fractions add up to 1
{{{30/45}}} + {{{30/t}}} = 1 
Reduce fraction
{{{2/3}}} + {{{30/t}}} = 1 
multiply equation by 3t
2t + 3(30) = 3t
90 = 3t - 2t
t = 90 min the smaller hose to fill the pool</PRE>