SOLUTION: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?      Log On


   



Question 176395: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
sam can do 1/4 of the job per day
lisa can do 1/6 of the job per day
tom can do 1/2 of the job per day
:
together they can do
:
1%2F4%2B1%2F6%2B1%2F2%29job per day
:
%283%2F12%29%2B%282%2F12%29%2B%286%2F12%29job per day
:
11%2F12 of job per day
:
so 11/12t=1(job)
:
t=12/11 days