SOLUTION: 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: 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 189290: 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 jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = no of days to complete the job
1/x = amount of work done in 1 day
%281%2F4%29%2B%281%2F6%29%2B%281%2F2%29=%281%2Fx%29
Multiply both sides by 12
3%2B2%2B6=12%2Fx
Multiply both sides by x
11x=12
Divide both sides by 11
x=12%2F11
It would take 1 1/11 days to complete the job.