SOLUTION: A and Bcan do a piece of work in 12 days, B and C in 10 days and A and C in 15 days. How long will each take to do work seprately

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A and Bcan do a piece of work in 12 days, B and C in 10 days and A and C in 15 days. How long will each take to do work seprately       Log On


   

Question 370682: A and Bcan do a piece of work in 12 days, B and C in 10 days and A and C in 15 days. How long will each take to do work seprately
Answer by stanbon(75887) About Me  (Show Source):
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A and B can do a piece of work in 12 days, B and C in 10 days and A and C in 15 days. How long will each take to do work separately
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Rate Equations:
1/A + 1/B + 0 = 1/12
0 + 1/B + 1/C = 1/10
1/A + 0 + 1/C = 1/15
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Using a matrix method I get:
1/A = 1/40
1/B = 7/120
1/C = 1/24
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Days to do the job alone:
A = 40 days
B = 120/7 = 17.14 days
C = 24 days
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Cheers,
Stan H.