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


   



Question 199321: If Sam can do a job in 4 days and Lisa can do it in 6 days and tom in 2 days, how long would the job take if Sam, Lisa and Tom worked together to complete it?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If Sam can do a job in 4 days and Lisa can do it in 6 days and tom in 2 days,
how long would the job take if Sam, Lisa and Tom worked together to complete it?
:
Let t = time required if all three work together
Let the completed job = 1
:
t%2F4 + t%2F6 + t%2F2 = 1
Multiply equation by 12 to get rid of the denominators, results:
3t + 2t + 6t = 12
11t = 12
t = 12%2F11 days or (12/11) * 24 ~ 26.2 hrs