Hi, 

Jeff takes 5hrs longer to build a fence than it takes Bill.

Letting x and (x+5) represent Bill's and Jeff's times respectively



PER HOUR Key:

    Yes!!

Multiplying thru with 6x(x+5) so as all denominators= 1

 6x + 6(x+5) = x(x+5)

   12x +30= x^2 + 5x

    x^2 - 7x - 30

factoring:

(x-10)(x+3)= 0

   x = 10 , x = -3  Throwing out x = -3

   x = 10hr is Bill's time and Jeff's is 15hr

  1/10 +1/15 = 25/150 = 1/6 

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