It would take 30 mins to print the first edition of book with the both press operating.
This can be solved by the below method :
Typing one edition is 1 job
Machine I does the job in 55 minutes and Machine II does it in 66 minutes.
So,
Part of job in 1 minute of Machine I = 1/time to complete job 1
= 1/ 55
Part of job in 1 minute of Machine II = 1/time to complete job 1
= 1/66
Together, both the machines in = 1/55 + 1/66
LCM of 55 and 66 is 3630
With the use of LCM, solve the above equation
= ( 66+55 ) / 3630
= 121/3630
= 1/30 or 30 minutes.
Hence we can say that both the machines together will take 30 minutes to print the first edition of the book.
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