SOLUTION: At a soda bottling plant one bottling plant machine can fulfill the daily quota in 10 hours, and the second machine can fulfill the daily quota in 14 hours. The two machine start w

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Question 884479: At a soda bottling plant one bottling plant machine can fulfill the daily quota in 10 hours, and the second machine can fulfill the daily quota in 14 hours. The two machine start working together but after four hours the slower machine broke and the faster machine had to complete the job itself. How many hours does the fast machine work by itself?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
One job is "fill the daily quota".
RT=J rate time job.
The "one machine" is the faster machine. Rate is as JOB per HOUR.
Let t = time in hours that the fast machine works alone.


___________________rate_________time_________job
One Machine________1/10_________t+4__________%281%2F10%29%28t%2B4%29
Second Machine_____1/14_________4____________%281%2F14%29%2A4
TOTAL_________________________________________1

The sum of the individual job portions is the whole 1 job.
highlight%28%281%2F10%29%28t%2B4%29%2B%281%2F14%29%2A4=1%29.
Solve for t.