First, we must convert the driving time of 3 hours and 15 minutes to minutes. Since there are 60 minutes in an hour, driving takes a total of 3*60 + 15 = <<3*60+15=195>>195 minutes.
Next, the woman will be on the airplane for one-third of 195 minutes, or 195/3 = <<195/3=65>>65 minutes.
Therefore, in total, the airplane trip will take the woman 10 + 20 + 65 + 10 = <<10+20+65+10=105>>105 minutes.
Thus, the airplane trip is 195 - 105 = <<195-105=90>>90 minutes faster than driving herself to the interview.
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