SOLUTION: jun and mike working together complete a job for 6 days, or they complete the job if jun works for 12 days and mike works for 3 days. how long would it take each man,alone to compl

Question 782048: jun and mike working together complete a job for 6 days, or they complete the job if jun works for 12 days and mike works for 3 days. how long would it take each man,alone to complete the job?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = jun's rate of working
Let = Mike's rate of working
----------------
(1)
(2)
( note that is ( 1 job ) / ( 6 days )
and is 1 job )
--------------------------------
(1)
(2)
Multiply both sides of (2) by
and subtract (1) from (2)
(2)
(1)

-------------------
and, since
(1)
(1)
(1)
(1)
(1)
----------------------
Working alone, Jun can do the job in 18 days
Working alone, Mike can do the job in 9 days
------------
check:
(2)
(2)
(2)
OK

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