SOLUTION: Lee can frame a cabin in 4 and 4/5 days less than Ron. When they work together, they will do the job in 4 days. How long would each of them take to frame the cabin alone?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: Lee can frame a cabin in 4 and 4/5 days less than Ron. When they work together, they will do the job in 4 days. How long would each of them take to frame the cabin alone?      Log On


   

Question 279299: Lee can frame a cabin in 4 and 4/5 days less than Ron. When they work together, they will do the job in 4 days. How long would each of them take to frame the cabin alone?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = number of days it takes Ron to frame a cabin
given:
Lee's rate of framing is:
1%2F%28d+-+4.8%29 (1 cabin framed)/(days it takes to frame it)
Ron's rate of framing:
1%2Fd (1 cabin framed)/(days it takes to frame it)
Working together, their rate is:
1%2F4 (1 cabin/(time to frame it)
----------------------------
Add their rates working separately to get their
rate working together
1%2Fd+%2B+1%2F%28d+-+4.8%29+=+1%2F4
Multiply both sides by 4d%2A%28d+-+4.8%29
+4%2A%28d+-+4.8%29+%2B+4d+=+d%2A%28d+-+4.8%29
4d+-+19.2+%2B+4d+=+d%5E2+-+4.8d
d%5E2+-+12.8d+%2B+19.2+=+0
Use quadratic equation:to solve