Runner A is initially $5\mathrm{.}0$ mi west of a flagpole and is running with a constant velocity of $3\mathrm{.}0$ mi$/$h due east. Runner B is initially $2\mathrm{.}0$ mi east of the flagpole and is running with a constant velocity of $4\mathrm{.}0$ mi$/$h due west. How far are the runners from the flagpole when they meet?