An analyst has timed a metal$-$cutting task for $50$ cycles. The average time per cycle was $10\mathrm{.}5$ minutes, and the standard devlation was

$1\mathrm{.}15$ minutes for a worker with a performance rating of $122$ percent. Assume an allowance of $14$ percent of task time. Calculate the

standard time for this task. $($Do not round Intermedlate calculations. Round the flinal answer to $2$ decimal places.$)$

Standard time

minutes