SOLUTION: Hayden is the manager of a landscaping company. He had three employees to do the entire park, Cody Kaitlin and Joseph.Cody can complete the job in 8 hrs. kaitlin can complete th

Question 824509: Hayden is the manager of a landscaping company. He had three employees to do the entire park, Cody Kaitlin and Joseph.Cody can complete the job in 8 hrs. kaitlin can complete the project in 6 hours. Joseph is neew so no one knows how it will take him. They must all work together to complete the project. How could I explain to Hayden how long it would take Joseph working by himself?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
If you add their rates of working, you
will get their rate of working together
--------------
Cody's rate is ( 1 job ) / ( 8 hrs )
Kaitlin's rate is ( 1 job ) / ( 6 hrs )
Let Joseph's rate = ( 1 job ) / ( t hrs )
Let their rate working together = ( 1 job ) / ( T hrs )
--------------------------------------------
I can say:

------------------------
The time, has to be less than hrs
no matter how slow Joseph is.
--------------------
Suppose Joseph is the slowest and takes
hrs to do the job alone
---------------------------

Multiply both sides by

hrs
-------------------
If Joseph happens to be faster than the other two,
the job will get done in LESS than Joseph's time
Example:
Joseph's rate is

hrs

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