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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
(r+3) = time required by Denis
Let the completed job = 1
A shared work equation
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
(r-3)(r+2) = 0
the positive solution
r = 3 hrs, Rolly working alone
3 + = 6 hrs, Denis working alone
2/3 + 2/6 = 1