SOLUTION: if sam can do a job in 4 day 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 ->  Rate-of-work-word-problems -> SOLUTION: if sam can do a job in 4 day 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 497036: if sam can do a job in 4 day 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 stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
if sam can do a job in 4 day 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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Sam rate: 1/4 job/day
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Lisa rate: 1/6 job/day
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Tom rate : 1/2 job/day
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Together rate: 1/x job/day
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Equation:
rate + rate + rate = together rate
1/4 + 1/6 + 1/2 = 1/x
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Multiply thru by 12x
3x + 2x + 6x = 12
11x = 12
x = 65.45 minutes or 1 hr. 5.45 minutes
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Cheers,
Stan H.