Each day for three days, a cyclist rode for 90 minutes at a speed that resulted in them traveling one mile in an integer number of minutes. Each day after the first, their speed decreased so that the number of minutes to travel one mile increased by 5 minutes over the preceding day. Each of the three days, the distance traveled was also an integer number of miles. What was the total number of miles for the three rides?
30
31
32
33
34
