Just add a day to the itinerary. What you're seeking to do would require perfect conditions and no delays at all.
The "airpot" in Salt Lake City is on the west side of the city, as in way on the west side, as in not far from the Salt Lake itself, so you need to cross the city, which means traffic, and so forth. The roads to the trailhead are dirt forest roads. Three p.m. at the trailhead if you're lucky and there are no delays. Me, I've never been able to get my rental car anywhere without standing interminably in some line, adding an hour up front to any journey.
And I guarantee you that at 3 p.m., the mountain will have all sorts of thunderstorms kicking around. You don't want to be hiking 15 miles in that weather to your camp.
Judging by the questions I wonder if you have done your homework or have any real idea what logistics go into this hike. It's not technical, but it is long, and remote, and prone to thunderstorms. Three days is no problem. Two days is no problem if you know what you are doing. You're essentially looking to do this in one and a half days.
Fly into SLC, and drive to the trailhead, and assume you won't be doing any hiking that day. On day 2, get a pre-dawn start, and you can probably get very far in and either summit that day, or set up camp and summit the next day, then hike out day 3, being back to the trailhead by 8 or 9 a.m. and to SLC around 1 or 2 p.m.
You don't need a GPS for this hike. It's all trail and easy to follow. You need a map, though. Landmarks are plentiful.
Utta is a very pretty state. Add an extra day and enjoy the sights of Utta.