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?

In 24 days, Sam can do six jobs, Lisa can do 4 jobs, and Tom can do 12.

If they worked together for 24 days, they could do 6+4+12 jobs, or 22 jobs.

So each job takes 24/22 days.

1.11

To solve this problem, we need to find the rate at which each person completes the job. We can find this by dividing the work done (in this case, the job) by the time taken.

Let's say the job is represented as "1" (which can be any unit, such as 1 task or 1 project).

Sam can do the job in 4 days, so his rate is 1 job / 4 days = 1/4 job per day.
Lisa can do the job in 6 days, so her rate is 1 job / 6 days = 1/6 job per day.
Tom can do the job in 2 days, so his rate is 1 job / 2 days = 1/2 job per day.

To find the combined rate of Sam, Lisa, and Tom working together, we simply add up their individual rates:

1/4 + 1/6 + 1/2 = 3/12 + 2/12 + 6/12 = 11/12 job per day.

Now, to find how long it takes for them to complete the job together, we can take the reciprocal of the combined rate (since rate = 1/time):

1 job / (11/12 job per day) = 12/11 days.

Therefore, if Sam, Lisa, and Tom work together, they would take approximately 12/11 days to complete the job.