When the minute hand of the clock rotates clockwise from 4 o'clock, how many degrees does the minute hand coincide with the hour hand? The answer is 130 / 10 / 11 degrees!

When the minute hand of the clock rotates clockwise from 4 o'clock, how many degrees does the minute hand coincide with the hour hand? The answer is 130 / 10 / 11 degrees!


The hour hand moves 0.5 ° per minute, the minute hand 6 ° per minute, and the angle between the minute hand and the hour hand is 120 ° at 4 o'clock
Let them coincide after X minutes
6x-0.5x=120,
The solution is x = 240 / 11
After 240 / 11 minutes, when the minute hand rotates (240 / 11) × 6 = 1440 / 11 = 130 and 10 / 11 degrees, the minute hand coincides with the hour hand