Because the central angle of the hour hand 1 min is 0.5 degrees, and the central angle of the minute hand 1 min is 6 degrees. When the two hands overlap for the first time, the central angle of the minute hand rotates 360 degrees more than that of the hour hand, so the time required for the two hands to overlap again is: (minute) 24× 60 = 65438. So the two needles overlap day and night: (times), which is described as follows:1:05 → 2:10 → 3:17 → 4: 22 → 5: 28 → 6: 33 → 7: 38 → 8: 43 →→ 24.