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 ->  Human-and-algebraic-language -> 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 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) About Me  (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:

+%281%2F4%29+%2B+%281%2F6%29+%2B+%281%2F2%29+

Taking LCM, we get:


==> +%283+%2B+2+%2B+6%29%2F12


==> 11%2F12

SO WHEN WORKED TOGETHER THEY ALL NEED 12%2F11 DAYS TO COMPLETE THE ENTIRE JOB.

HENCE, THE SOLUTION.