I noticed a couple things about this question one of which I think you may have missed... and that is that the driver started exactly on the minute. This means that the second hand was exactly on the 12. Taking that into account you should be able to rule out some times. I can not wrap my head around this one completely though either. But there are several things to consider. First what exact times exactly do the hour hand and minute hand point in the same direction. I can tell you that they line up at 12 am. But that's about all I can tell you. But you are definitely incorrect in saying that it is 65 minute intervals. To prove this lets move from 12 o'clock 65 minutes now it is 1:05. At 1:05 the minute hand and hour hands do not align. The minute hand is on the 1 at 1:05, however the hour hand is already 1/12th of the way towards the 2. Keep in mind the hour hand was exactly on the 1 at 1:00 not 1:05. More to come. I got some thinking to do. I like this question.