Suppose that you want to travel from station A to station B, with a high-speed underground train which works only in daytime. You look up your watch just as the train begins to move, and you realize that the minute hand is exactly on top of a minute indicator. After travelling eight kilometers you come to station B and look up your watch again. This time, you realize that the minute hand is not on a minute indicator but exactly on top of the hour hand. Given that the speed of the train (in kilometers per hour) is an odd number greater than 60, what time was it on the beginning of your trip?