# SOLUTION: I have been trying to figure out this math problem for a while. It says Jeff takes 5hrs longer to build a fence than it takes Bill. When they work together, it takes them 6 hours.

Algebra ->  Algebra  -> Radicals -> SOLUTION: I have been trying to figure out this math problem for a while. It says Jeff takes 5hrs longer to build a fence than it takes Bill. When they work together, it takes them 6 hours.      Log On

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 Click here to see ALL problems on Radicals Question 612981: I have been trying to figure out this math problem for a while. It says Jeff takes 5hrs longer to build a fence than it takes Bill. When they work together, it takes them 6 hours. How long would it take Bill to do the job alone? So far I have 1/x-5 + 1/x = 1/6 I am not sure were to go from there thank youAnswer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! 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