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 258238: 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 richwmiller, Alan3354:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x/4+x/6+x/2=1
3x/12+2x/12+6x/12=1
11x/12=1
x=12/11 days

Answer by Alan3354(69443) About Me  (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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Use the shortcut, abc/(ab + ac + bc)
= 4*6*2/(4*6 + 4*2 + 6*2)
= 48/(24 + 8 + 12)
= 48/44
= 12/11 days