# SOLUTION: It takes Denis 3 hrs longer than Rolly to complete a certain job. Working together, both can complete the job in 2 hrs. How long does it take each person to complete the job workin

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 Click here to see ALL problems on Complex Numbers Question 652519: It takes Denis 3 hrs longer than Rolly to complete a certain job. Working together, both can complete the job in 2 hrs. How long does it take each person to complete the job working alone?Answer by ankor@dixie-net.com(16523)   (Show Source): You can put this solution on YOUR website! It takes Denis 3 hrs longer than Rolly to complete a certain job. Working together, both can complete the job in 2 hrs. How long does it take each person to complete the job working alone? : let r = time required by Rolly alone then (r+3) = time required by Denis : Let the completed job = 1 : A shared work equation : + = 1 multiply by r(r+3), results 2(r+3) + 2r = r(r+3) : 2r + 6 + 2r = r^2 + 3r Combine like terms on the right 0 = r^2 + 3r - 2r - 2r - 6 A quadratic equation r^2 - r - 6 = 0 Factors to (r-3)(r+2) = 0 the positive solution r = 3 hrs, Rolly working alone then 3 + = 6 hrs, Denis working alone : : Check this 2/3 + 2/6 = 1