SOLUTION: A small swimming pool can be filled with water by 2 pipes in 3 hours. If the larger pipe alone takes 8 hours less than the smaller pipe to fill the pool find the time in which it

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A small swimming pool can be filled with water by 2 pipes in 3 hours. If the larger pipe alone takes 8 hours less than the smaller pipe to fill the pool find the time in which it       Log On


   

Question 624440: A small swimming pool can be filled with water by 2 pipes in 3 hours. If the larger pipe alone takes 8 hours less than the smaller pipe to fill the pool find the time in which it will be filled by each pipe operating singly.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A small swimming pool can be filled with water by 2 pipes in 3 hours. 

If the larger pipe alone takes 8 hours less than the smaller pipe hrshighlight%28x%29to fill the  pool

find the time in which it will be filled by each pipe operating singly

Question states***PER hr Key

+1%2Fx+%2B+1%2F%28x-8%29+=+1%2F3  |Multiplying thru by 3x(x-8) so as all denominators = 1

  3(x-8) + 3x = x(x-8)

  3x - 24 + 3x = x^2 - 8x

            x^2 -14x + 24 = 0

            (x - 12)(x - 2) = 0

                   x = 12hr  (throwing out illogical solution x = 2)

  Smaller Pipe takes 12hr and the larger Pipe 4hrs to fill the pool by itself