SOLUTION: Working together, it takes two different sized hoses 25 minutes to fill a small swimming pool. If it takes 35 minutes for the larger hose to fill the swimming pool by itself, how l

Question 1157097: Working together, it takes two different sized hoses 25 minutes to fill a small swimming pool. If it takes 35 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?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Working together, it takes two different sized hoses 25 minutes to fill a small swimming pool.
Together they fill in 25 minutes
They fill 1/25 of the pool in 1 min
larger hose takes 35 minutes to fill the pool by itself,
It fills 1/35 of the pool in 1 minute

let smaller hose x minutes alone to fill the pool
it fills 1/x of the pool in 1 minute
=
1/x +1/35 =1/25
1/x = 1/25 -1/35
1/x = 10/875
x= 87.5 minutes
how long will it take the smaller hose on its own?
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