A car rental company is offering a contract to pay by$-$the$-$mile. The plan charges a flat rate of $$75\mathrm{.}2$ each week. Every mile traveled during the week costs $$1\mathrm{.}10$ each.

$($A$)$ How much would the bill be if in one week $282$ miles were driven?

$ $($round to $2$ decimal places$)$

$($B$)$ How many miles were driven if the bill for one week was $$155\mathrm{.}5?$