The leader of a bicycle race is traveling with a constant velocity of $+11\mathrm{.}7$ m$/$s and is $9\mathrm{.}60$ m ahead of the second$-$place cyclist. The second$-$place cyclist has a velocity of $+9\mathrm{.}20$ m$/$s and an acceleration of $+1\mathrm{.}20$ m$/$s$2.$ How much time elapses before he catches the leader?