SOLUTION: Matthew can finish a work in 6 days, Martin in 8 days and Raymund also in 8 days. How long will it take the three gentlemen to finish the same work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Matthew can finish a work in 6 days, Martin in 8 days and Raymund also in 8 days. How long will it take the three gentlemen to finish the same work together?       Log On


   

Question 1145987: Matthew can finish a work in 6 days, Martin in 8 days and Raymund also in 8 days. How long will it take the three gentlemen to finish the same work together?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x/6+x/8+x/8=1
x/6+2x/8=1
x/6+x/4=1
2x/12+3x/12=1
5x/12=1
5x=12
x=12/5
x=2.4 days
check
2.4/6+2.4/8+2.4/8=1
1=1
ok