Question 624440
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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 hrs{{{highlight(x)}}}to fill the  pool
find the time in which it will be filled by each pipe operating singly
Question states***PER hr Key
{{{ 1/x + 1/(x-8) = 1/3}}}  |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