SOLUTION: Maria takes 9 days to complete a piece of work.John takes 3 days to complete the same work and Linda completes it in 3 days.How long will it take if all of them work together?

Question 672261: Maria takes 9 days to complete a piece of work.John takes 3 days to complete the same work and Linda completes it in 3 days.How long will it take if all of them work together?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Maria takes 9 days to complete a piece of work.John takes 3 days to complete the same work and Linda completes it in 3 days.How long will it take if all of them work together?
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Maria's rate = 1/9 job/day
John's rate = 1/3 job/day
Linda's rate = 1/3 job/day
Together rate = 1/x job/day
=============================
Equation:
rate + rate + rate = together rate
1/9 + 1/3 + 1/3 = 1/x
x + 3x + 3x = 9
7x = 9
x = 9/7 = 1 2/7 days (time to do the job together)
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Cheers,
Stan H.
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