SOLUTION: working alone,photography machine C requires 40 minutes to complete an 800 page job.working together machines B and C require 25 mins for the same 800 page job.with machines A,B an
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Question 1045439: working alone,photography machine C requires 40 minutes to complete an 800 page job.working together machines B and C require 25 mins for the same 800 page job.with machines A,B and C working together, the job takes 10 minutes. how long does it take machine A to complete the Job working alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate of working for
machine A in pages/min
Let = the rate of working for
machine B in pages/min
Let = the rate of working for
machine C in pages/min
--------------------------------
(1)
(1)
and
(2)
(2)
and
(3)
(3)
-------------------------------
(2)
(2)
(2)
and
(3)
(3)
(3)
--------------------------------
The rate of working of macine A is pages/min
Let = time in min for A to finish pages
convert min to sec
--------------------
Machine A takes 16 min 40 sec to do 800 page job
--------------------
check answer:
(3)
(3)
(3)
(3)
Hope I got it!
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