SOLUTION: A can do a piece of work in 24 days while B can alone do it in 16 days. With the help of C, they finish the work in 8 days. In how many days can C alone do this work

Algebra ->  Triangles -> SOLUTION: A can do a piece of work in 24 days while B can alone do it in 16 days. With the help of C, they finish the work in 8 days. In how many days can C alone do this work       Log On


   



Question 816235: A can do a piece of work in 24 days while B can alone do it in 16 days. With the help of C, they finish the work in 8 days. In how many days can C alone do this work
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1/24+1/16+1/c=1/8
8/24+8/16+8/c=1
1/3+1/2+8/c=1
2/6+3/6+8/c=1
5/6+8/c=1
8/c=1/6
c=48 days alone
a and b without c
x/24+x/16=1
2x/48+3x/48=1
5x/48=1
x=48/5
x=9.6 days for a and b