SOLUTION: Jamie works 3 times faster than Steven. Together, they do a job in 9 hours. How long does it take Steven working alone to do the same job?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Jamie works 3 times faster than Steven. Together, they do a job in 9 hours. How long does it take Steven working alone to do the same job?      Log On


   

Question 956544: Jamie works 3 times faster than Steven. Together, they do a job in 9 hours. How long does it take Steven working alone to do the same job?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +R+ = Steven's rate of working in jobs/hr
+3R+ = Jamie's rate of working in jobs/hr
+1%2F9+ = their rate working together in jobs/hr
------------------
Add their rates of working to get their rate working together
+R+%2B+3R+=+1%2F9+
+4R+=+1%2F9+
+R+=+1%2F36+
+3R+=+1%2F12+
----------------
Steven would take 36 hrs working alone