Question 884479
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__________{{{(1/10)(t+4)}}}
Second Machine_____1/14_________4____________{{{(1/14)*4}}}
TOTAL_________________________________________1


The sum of the individual job portions is the whole 1 job.
{{{highlight((1/10)(t+4)+(1/14)*4=1)}}}.
Solve for t.