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 hrsto fill the  pool

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

Question states***PER hr Key

  |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 

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