Manuscripts arrive at Gray Wolf Press for review every $27\mathrm{.}6$ days on average with a standard

deviation of $18\mathrm{.}7$ days. Manuscripts are reviewed on a first$-$come$-$first$-$serve basis by the first

available of one of $3$ editing teams. The time it takes the editing team to review a manuscript

is $45\mathrm{.}9$ days on average with a standard deviation of $38$ days.

Calculate the average time in days a manuscript waits to begin the review process.

Carry intermediate calculations to at least $3$ decimal places.

Enter your final answer rounded to one decimal place.