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The problem of the sixth grade Olympic clock
The math quiz group will answer your questions, hoping to help you.

1, at 5 o'clock in the afternoon, the coincidence of the minute hand and the hour hand is 5: 27 3/ 1 1, that is, 5 hours is 27 3/1,and 300 minutes is 27 3/1. The next coincidence is 6: 32 8/ 1 1 minute, that is, the actual walk is 3928/1minute.

Therefore: 300 ÷ 327 3/11× 392 8/1= 360 minutes =6 hours.

So: the next time the two stitches coincide is 6 pm standard time. (It is known that every coincidence is a standard integer point)

2. Walk clockwise for one minute, and walk minute by minute 12 minutes; It is known that the minute hand is ahead at the beginning, and the hour hand advances for x minutes, then x+ 12x=20, x=20/ 13.

So: 20-20/13 = 240/13 =18 and 6/ 13 minutes.

Miss Wang's waiting time at the school gate: 18 6/ 13 minutes.

I wish you progress in your studies and go up a storey still higher! (*^__^*)