Give the step-by-step reasoning process and then the final answer. A woman is trying to decide whether it will be quicker to take an airplane or drive herself to a job interview. If she drives herself, the trip will take her 3 hours and 15 minutes. If she takes an airplane, she will first need to drive 10 minutes to the airport, and then wait 20 minutes to board the plane. After that, she will be on the airplane for one-third of the time it would have taken her to drive herself before landing in the destination city. Finally, it will take her an additional 10 minutes to get off the airplane and arrive at her interview site after the plane lands. Given this information, how many minutes faster is it for her to take the airplane?
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 = 195 minutes. Next, the woman will be on the airplane for one - third of 195 minutes, or 195 / 3 = 65 minutes. Therefore, in total, the airplane trip will take the woman 10 + 20 + 65 + 10 = 105 minutes. Thus, the airplane trip is 195 - 105 = 90 minutes faster than driving herself to the interview.
The final answer: 90.