SOLUTION: Greg and Joan are taking a job that is scheduled to take them 8 days to complete. Their friend Brenda decides she would join them in the job. Assuming the friends all work at the s

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Greg and Joan are taking a job that is scheduled to take them 8 days to complete. Their friend Brenda decides she would join them in the job. Assuming the friends all work at the s      Log On


   



Question 972351: Greg and Joan are taking a job that is scheduled to take them 8 days to complete. Their friend Brenda decides she would join them in the job. Assuming the friends all work at the same rate, how much time will the job take all three friends to complete?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Greg and Joan are taking a job that is scheduled to take them 8 days to complete. Their friend Brenda decides she would join them in the job. Assuming the friends all work at the same rate, how much time will the job take all three friends to complete?
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Let the rate for each of the three be "r".
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Equation::
rate + rate = 1/8 job/day
2r = 1/8
r = 1/16 job/day (rate for each person)
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Equation:
3r = 3/16 job/day ((rate when all three are working together)
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Ans:: (16/3) days/job = 5 1/3 days for the three of them to do the job together.
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Cheers,
Stan H.