SOLUTION: A, B and C can do a piece of work in 12 days. A alone takes twice as long as B and C together, and B takes three times as long as A and C together. In what time A will do the work

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A, B and C can do a piece of work in 12 days. A alone takes twice as long as B and C together, and B takes three times as long as A and C together. In what time A will do the work      Log On


   

Question 822584: A, B and C can do a piece of work in 12 days. A alone takes twice as long as B and C together, and B takes three times as long as A and C together. In what time A will do the work alone?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/a+1/b+1/c=1/12,
1/b+1/c=1/(x),
x=a/2,
1/a+1/c=1/(y),
y=b/3
a = 36, b = 48, c = 144/5, x (b+c together) = 18, y (a+c together) = 16
check
36=2*18
48=3*16
ok