An analyst has timed a metal$-$cutting task for $50$ ?cycles. The average time per cycle was $11\mathrm{.}2$ ?minutes, and the standard deviation was $1\mathrm{.}22$ ?minutes for a worker with a performance rating of $134$ ?percent. Assume an allowance of $10$ ?percent of task time. Calculate the standard time for this task. $($Do not round intermediate calculations. Round the final answer to $2$ ?decimal places.$)$

Standard time

$16\mathrm{.}51$

?minutes