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 91585: 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 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 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?
:
Let t = time required if all 3 work together
:
Let the completed job = 1
:
t%2F4 + t%2F6 + t%2F2 = 1
:
Get rid of the denominators, multiply equation by 12 and you have;
3t + 2t + 6t = 12
:
11t = 12
:
t = 12/11 days
:
Which is: 1 day, 2 hrs, 10 min, 54.5 seconds