A worker$-$machine operation was found to involve $3\mathrm{.}5$ minutes of machine time per cycle in the course of $40$ cycles of stopwatch study. The worker's time averaged $20$ minutes per cycle. and the worker was given a rating of $110$ percent $($machine rating is $100$ percent$).$ Midway through the study, the worker took a $10-$minute rest break. Assuming an allowance factor of $10$ percent of work time which is applied only to the worker element $($not the machine element$).$ determine the standard time for this job.

Note: Do not round intermediate calculations. Round your final answer to $2$ decimal places.

minutes