Consider a region that has four accelerometer stations: A$,$ B$,$ C$,$ and D$.$ Each station is equipped with an on$-$site earthquake early warning system that can alarm based on processing $3$ seconds duration of measured P$-$waves. An earthquake occurs that is detected by all four stations. Station C detects the earthquake third, with the onset of S$-$ waves occurring $12$ seconds after the onset of P$-$waves. Assume the average S$-$wave and P$-$wave velocities are $3$ km$/$sec and $5$ km$/$sec respectively. Which could occur first, an earthquake early warning alarm at station C$,$ or identification of the earthquake$’$s epicenter? Why?