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?

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Question 330698: 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?
Found 2 solutions by Alan3354, amykazoo:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
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?
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Find what of the job each does per day.
Add those, that's the total job/day.
Invert it. That's days per job.

Answer by amykazoo(1)   (Show Source): You can put this solution on YOUR website!
If the job load is "1", then Sam can finish 1/4 per day, Lisa can finish 1/6 per day, and Tom finish 1/2 per day. So, if they work together, how much work can they finish in one day? It should be 1/4+1/6+1/2=11/12
To know how many days to finish the job if they work together,We use job load "1" to divide 11/12, the answer is 12/11 days(which means 26.18 hrs).

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