SOLUTION: One person can do a certain job in six days, a second person can do the same job in two days, and a third person can do this job in three days. How many days will they take to do t

Algebra ->  Rate-of-work-word-problems -> SOLUTION: One person can do a certain job in six days, a second person can do the same job in two days, and a third person can do this job in three days. How many days will they take to do t      Log On


   



Question 446358: One person can do a certain job in six days, a second person can do the same job in two days, and a third person can do this job in three days. How many days will they take to do the job together?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
person I 6 days
He does 1/ 6 of the job in 1 day
Person II 3 days
He does 1/ 3 of thejob in 1 day
Person III 2 days
He does 1/2 of the job in 1 day

Together they will do 1/6+ 1/12+ 1/2
Together they will do 3/ 4of the job in one day
So they will take 1 1/3 day

Answer by ikleyn(53427) About Me  (Show Source):
You can put this solution on YOUR website!
.
One person can do a certain job in six days, a second person can do the same job in two days,
and a third person can do this job in three days. How many days will they take to do the job together?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


        The solution and the answer in the post by @mananth are incorrect.
        I came to make the job correctly,  properly and accurately,  in a way as it  SHOULD  be done.


person  I   6 days
He does  1/6  of the job in 1 day

Person  II   2 days
He does  1/2  of the job in 1 day

Person  III   3 days
He does  1/3   of the job in 1 day

Together they will do

        1%2F6 + 1%2F2 + 1%2F3 = 2%2F12 + 6%2F12 + 4%2F12 = 12%2F12 = 1.

Together they make the entire job in one day
So they will take 1 day to complete the job.                 <<<---=== ANSWER

Solved correctly.