Question 3661: 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 they worked together to complete it?
Answer by ntnk(54)   (Show Source):
You can put this solution on YOUR website! From the information given, it can be concluded that:
Sam can do 1/4 of the job in one day.
Lisa can do 1/6 of the job in one day.
and Tom can do 1/2 of the job in one day.
In one day, if they work together they can complete 11/12(1/4+1/6+1/2) of the job. To finish the other 1/12 of the job, it will take 1/11 of the second day, because 1/11 times 11/12 is equal to the other 1/12 necessary to complete the job.
If they worked together, it would take 1 1/11 days.
Check: (1/4+1/6+1/2)*(1 1/11) = 1
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