false, 5k is is 5000m. 3 miles is 1609m x 3= 4,827m roughly.
leaving the competitor 173 meters to complete.
assuming he is running 17:50 pace, he is running approx 10.4 mph. lets assume he runs 20% faster during his kick, he would then be traveling at 12.5 mph or 4:48 pace.
At that pace it would take him about 31 seconds to complete the last 173m. any elite (national level) HS competitor can close this quickly.
The "pre-style" team mate is probably taking closer to 50 seconds due to the hydrogen ions built up in his muscles which will give him that "burning feeling" we all know and love as soon as he tries to hit his extra gear.