# SOLUTION: carmen can weed the garden in 24min. if kim helps they can finish in 8 min. how long would it take kim working alone?

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: carmen can weed the garden in 24min. if kim helps they can finish in 8 min. how long would it take kim working alone?      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Systems of equations that are not linear Solvers Lessons Answers archive Quiz In Depth

 Question 279072: carmen can weed the garden in 24min. if kim helps they can finish in 8 min. how long would it take kim working alone?Found 2 solutions by oberobic, scott8148:Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!For jobs like this, look at it terms of the whole job being a unitary thing. Carmen can do the job in 24 minutes, so she does the job at a rate of 1/24 of the total job per minute. Carmen and Kim working together can do the job in 8 minutes, so their combined rate is 1/8 per minute. Algebraically, their combined speeds can be shown as: Multiplying through by 24x we have Subtracting x from both sides Dividing both sides by 2 Kim can do the job in 12 minutes working alone. . Checking our work, we were told that combined they did the job in 8 minutes. In 8 minutes, Carmen can do of the job. In 8 minutes, Kim can do of the job. 1/3 + 2/3 = 1 job. . Done Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!in 8 min, Carmen weeds 8/24 or 1/3 of the garden this means Kim weeds 2/3 of the garden in 8 min ___ so it would take her 12 min [8 / (2/3)] to weed alone