SOLUTION: By himself Tim can complete his paper route in 120 minutes. With the help of Sue it takes 90 minutes. How many minutes would it take sue to do the route by herself?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: By himself Tim can complete his paper route in 120 minutes. With the help of Sue it takes 90 minutes. How many minutes would it take sue to do the route by herself?      Log On


   

Question 559531: By himself Tim can complete his paper route in 120 minutes. With the help of Sue it takes 90 minutes. How many minutes would it take sue to do the route by herself?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = minutes it takes Sue to do the route by herself
Tim's rate of working = ( 1 paper route ) / ( 120 minutes )
Sue's rate of working= ( 1 paper route ) / ( t minutes )
Rate working together = ( 1 paper route ) / ( 90 minutes )
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Add their rates of working to get rate working together
+1%2F120+%2B+1%2Ft+=+1%2F90+
Multiply both sides by +360t+
+3t+%2B+360+=+4t+
+t+=+360+
It takes Sue 360 minutes to do the route by herself