SOLUTION: jim can fill a pool carrying buckets of water in 30 minutes.sue can do the same job in 45 minutes .tony can do the same job in 1 hours y 30 min.How quickly can all three fill the p

Algebra ->  Test  -> Lessons -> SOLUTION: jim can fill a pool carrying buckets of water in 30 minutes.sue can do the same job in 45 minutes .tony can do the same job in 1 hours y 30 min.How quickly can all three fill the p      Log On


   

Question 539747: jim can fill a pool carrying buckets of water in 30 minutes.sue can do the same job in 45 minutes .tony can do the same job in 1 hours y 30 min.How quickly can all three fill the pool together
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Add their rates of working
Let t = their time working together
Jim's rate: ( 1 job ) / ( 30 min )
Sue's rate: (1 job ) / ( 45 min )
Tony's rate: ( 1 job ) / (90 min )
+1%2F30+%2B+1%2F45+%2B+1%2F90+=+1%2Ft+
Multiply both sides by +90t+
+3t+%2B+2t+%2B+t+=+90+
+6t+=+90+
+t+=+15+
Working together, it will take them 15 min