SOLUTION: first let me thank you all for your help. my problem is A,B and C can finish a job in 6 days if B and C work together the job will take 9 days if A and C work together the job

Question 147660: first let me thank you all for your help. my problem is A,B and C can finish a job in 6 days if B and C work together the job will take 9 days if A and C work together the job will take 8 days in how many days can each man working alone do the job? again thank very much for your help
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
first let me thank you all for your help. my problem is A,B and C can finish a job in 6 days if B and C work together the job will take 9 days if A and C work together the job will take 8 days in how many days can each man working alone do the job?
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Let the alone time for each be a, b, and c
Then their respective rates are 1/a, 1/b, and 1/c
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EQUATION:
1/a + 1/b + 1/c = 1/6
0 + 1/b + 1/c = 1/9
1/a + 0 + 1/c = 1/8
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Solve the system by any means to get :
1/a = 1/18
1/b = 1/24
1/c = 5/72
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Then:
a would take 18 days
b would take 24 days
c would take 72/5 = 14 2/5 days
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Cheers,
Stan H.
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