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?

Question 82932: 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 chitra(359) (Show Source): You can put this solution on YOUR website!
By data given that :

Sam needs 4 days to complete a job

Therefore, he completes 1/4 of a job in one day.

Lisa needs 6 days to complete a job

Therefore, she completes 1/6 of a job in one day.

Tom needs 2 days to complete a job.

Therefore, he completes 1/2 of a job in one day.

So, in total they all need:

Taking LCM, we get:

==>

==>

SO WHEN WORKED TOGETHER THEY ALL NEED DAYS TO COMPLETE THE ENTIRE JOB.

HENCE, THE SOLUTION.

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