Answer:
12/11 days
Step-by-step explanation:
Sam can do a job in 4 days.
So in 1 day , he can do 1/4 of the job.
Lisa can do a job is 6 days.
So in 1 day she can do 1/6 of the job
Tom can do a job in 2 days.
So in 1 day he can do the job in 1/2 days.
Taken together, all three of them can do:
[tex]\[\frac{1}{4}+\frac{1}{6}+\frac{1}{2}\][/tex] of the job.
=[tex]\[\frac{3+2+6}{12}\][/tex] of the job
= 11/12 of the job in 1 day
As a result the job can be completed by all three of them together in 12/11 days.