SOLUTION: Frank can do in 8 days a task which he and James together can do in three days. How many days would be required for James to do the work alone?

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Question 910246: Frank can do in 8 days a task which he and James together can do in three days. How many days would be required for James to do the work alone?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Frank can do in 8 days a task which he and James together can do in three days. How many days would be required for James to do the work alone?
let 1/x=james'work rate
1/8=frank's work rate
1/3=work rate frank and james working together
..
sum of indv. work rates =work rate working together
1/x+1/8=1/3
1/x=1/3-1/8=8/24-3/24=5/24
x=24/5=4.8
How many days would be required for James to do the work alone? 4.8