SOLUTION: mark can mow a lawn in 20 minutes less time than his sister Marie. Together they can mown the lown in 24 minutes. How long it will take Marie to finish the mowing if she works alon

Algebra ->  Rate-of-work-word-problems -> SOLUTION: mark can mow a lawn in 20 minutes less time than his sister Marie. Together they can mown the lown in 24 minutes. How long it will take Marie to finish the mowing if she works alon      Log On


   



Question 902125: mark can mow a lawn in 20 minutes less time than his sister Marie. Together they can mown the lown in 24 minutes. How long it will take Marie to finish the mowing if she works alone?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F%28x-20%29%29+%2B+1%2Fx+=+1%2F24 |Multiplying thru by 24x(x-20) so as all denominators = 1
24x + 24(x-20) = x(x-20)
x^2 -68x + 480 = 0 (Tossing out erroneous solution)
(x-60)(x-8) = 0
x = 60min