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? One minute, the minute hand goes 6 degrees, one minute, the hour hand goes 0.5 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? One minute, the minute hand goes 6 degrees, one minute, the hour hand goes 0.5 degrees.

The minute hand turns 360 ° in an hour, 6 ° in a minute; the hour hand turns 360 / 12 = 30 ° in an hour, 30 / 60 = 0.5 ° in a minute; when the hour hand is at 4 o'clock, the hour hand is 30 * 4 = 120 ° ahead of the minute hand; suppose that after X minutes, the minute and clock coincide: 6x = 120 + 0.5x solution: x = 240 / 11, degree of rotation = 6 * x = 6 * 240 / 11