SOLUTION: Problem "Together, you and a friend can landscape a property in 6hours. Your friend takes 3 times as long to landscape the property alone as you take to do it alone. How long would

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Question 131212: Problem "Together, you and a friend can landscape a property in 6hours. Your friend takes 3 times as long to landscape the property alone as you take to do it alone. How long would it take you to do it alone? How long would your friend take to landscape the property alone?"
I tried to solve it by formula (work rate x time= work done):
I came out with me as .75per hour and friend .25per hour
Is it right? If not, how would you solve it?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
TYHE FORMULA FOR THESE TYPE OF PROBLEMS IS:
X*Y/(X+Y)=6
X*3X/(X+3X)=6
3X^2/4X=6
3X^2=24X
3X^2-24X=0
3X(X-8)=0
X-8=0
X=8 HOURS FOR YOU TO CONPLETE THE JOB ALONE.
3*8=24 HOURS FOR THE SLOWER WORKER TO COMPLETE THE JOB ALONE.
PROOF:
8*24/(8+24)=6
192/32=6
192=192