A hare and a tortoise compete in a race over a straight course $2\mathrm{.}20$ km long. The tortoise crawls at a speed of $0\mathrm{.}260$ m$/$s toward the finish line. The hare runs at a speed of $7\mathrm{.}20$ m$/$s toward the finish line for $1\mathrm{.}760$ km and then stops to tease the slow$-$moving tortoise as the tortoise eventually passes by$.$ The hare waits for a while after the tortoise passes and then runs toward the finish line again at $7\mathrm{.}20$ m$/$s$.$ Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds.

$($a$)$ How far is the tortoise from the finish line when the hare resumes the race