Let the hour hand and minute hand overlap at 7: 00 x. Because the speed of the hour hand is112 of the minute hand speed, from 7 o'clock sharp to 7 o'clock x minutes, the minute hand turns to x squares, then the hour hand turns to x/ 12 squares, and the minute hand turns 35 squares more than the hour hand. According to the meaning of the question:
x-x/ 12=35
Solution:
X=38 and 165438+2/0.
So the time was 7: 38, 1 1: 2.