SOLUTION: It takes Printing machine A and B working together 2hrs 24min to complete a piece of job. both machines started working together and after 36min B broke down and A had to continue

Question 894720: It takes Printing machine A and B working together 2hrs 24min to complete a piece of job. both machines started working together and after 36min B broke down and A had to continue alone. if it took 3hrs for machine A to complete the task , determine how long each machine would take to complete printin papers
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Each machine has a rate of printing expressed as:
( number of printing jobs finished ) / ( time to do all those jobs in hrs )
---------------------------------
Let = A's rate of printing
Let = B's rate of printing
--------------------------------
Note that min = hrs
and min = hrs
Given:
(1)
---------------------------
In minutes, how much of the job did
the machines finish working together?
--------------------------------------
In hrs, they would have done the whole job
They finished of the job in min
----------------------------------------
There is of the job left to do
It took hrs for A to finish the job alone, so
A's rate of printing is:

jobs / hr
-----------------------
Now I can say:
(1)
(1)
(1)
(1)
(1)
(1) jobs/hr
--------------------------
A would take 4 hrs to do the job alone
B would take 6 hrs to do the job alone
-----------------------------------
check:
(1)
(1)
(1)
(1)
OK

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