A recently negotiated union contract allows workers in a shipping department $24$ minutes for rest, $10$ minutes for personal time, and $14$ minutes for delays for each four hours worked. A time study analyst observed a job that is performed continuously and found an average time of $6\mathrm{.}0$ minutes per cycle for a worker she rated at $95$ percent. What standard time is applicable for that operation? $($Do not round intermediate calculations. Round your final answer to $3$ decimal places.$)$

Standard time

minutes.