SOLUTION: Huey can weed Donald's garden in 12 minutes, Dewey can weed the garden in 18 minutes, and Louie can weed the garden in 30 minutes. In a spirit of cooperation they all decide to wor

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Huey can weed Donald's garden in 12 minutes, Dewey can weed the garden in 18 minutes, and Louie can weed the garden in 30 minutes. In a spirit of cooperation they all decide to wor      Log On


   

Question 1064060: Huey can weed Donald's garden in 12 minutes, Dewey can weed the garden in 18 minutes, and Louie can weed the garden in 30 minutes. In a spirit of cooperation they all decide to work together to weed the garden. What fraction of the work does each boy do? How should they spit $120 after finishing?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
            JOB       TIME (minutes)

Huey         1        12

Dewey        1        18

Louie        1        30


Compare rates for job per minute:
system%281%2F12%2C1%2F18%2C1%2F30%29

LCD is 180.
system%2815%2F180%2C10%2F180%2C6%2F180%29

Since that is based on all the same denominator of 180 minutes, the numerators show the relative amount of jobs. Use just the numerators to get the fraction of the "weeding Donald's garden" job that the three boys did.

They together did 1 whole job.
15%2B10%2B6=31

Huey: 15%2F31 of the job
Dewey: 10%2F31 of the job
Louie: 6%2F31 of the job