SOLUTION: 'A' does a job in 2 days. 'B does the same job in 4 days. 'C' does the same job in 6 days. If all three work together, how long will it take them to complete the job. Please an

Question 868528: 'A' does a job in 2 days. 'B does the same job in 4 days. 'C' does the same job in 6 days. If all three work together, how long will it take them to complete the job. Please answer in fractions.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
'A' does a job in 2 days. 'B does the same job in 4 days. 'C' does the same job in 6 days. If all three work together, how long will it take them to complete the job. Please answer in fractions.
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A rate = 1/2 job/day
B rate = 1/4 job/day
C rate = 1/6 job/day
Together rate = 1/x job/day
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Equation:
rate + rate + rate = together rate
1/2 + 1/4 + 1/6 = 1/x
------
6x + 3x + 2x = 12
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11x = 12
x = 12/11 = 1 1/11 days (time to do the job together)
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Cheers,
Stan H.
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