SOLUTION: Jason takes 3 hours to build a fence. Jeff takes 2 hours. How long together.

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jason takes 3 hours to build a fence. Jeff takes 2 hours. How long together.      Log On


   

Question 616856: Jason takes 3 hours to build a fence. Jeff takes 2 hours. How long together.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
Jason's rate: ( 1 fence ) / ( 3 hrs )
Jeff's rate: ( 1 fence ) / ( 2 hrs )
Let +t+ = their time working together
+1%2F3+%2B+1%2F2+=+1%2Ft+
Multiply both sides by +6t+
+2t+%2B+3t+=+6+
+5t+=+6+
+t+=+6%2F5+
+6%2F5+=+12%2F10+
+12%2F10+=+1+%2B+.2+
+.2%2A60+=+12+
Together, they take 1 hr and 12 min