To find the current time, we need to determine the positions of the hour and minute hands on the clock and calculate the time when the minute hand will be as much ahead of the hour hand as it is now behind it. The current time is 3:05.
To solve this problem, we need to determine the current positions of the hour and minute hands on the clock and find the time when the minute hand will be as much ahead of the hour hand as it is now behind it.
Currently, it is between 3 and 4 o'clock. The minute hand is ahead of the hour hand by 15 degrees (1/4 of a complete revolution). In 20 minutes, the minute hand will be 20/60 * 360 = 120 degrees ahead of the hour hand.
To find the time, we need to subtract the 120 degrees from the current difference of 15 degrees. So, the minute hand will be 120 - 15 = 105 degrees ahead of the hour hand.
Since one complete revolution of the clock is 360 degrees, the minute hand and hour hand are 360 - 105 = 255 degrees apart. This corresponds to 1/12 of the clock's total time.
Therefore, the time now is 3 o'clock + 1/12 * 1 hour = 3:05.