if the hands on a round clock moved counter clockwise, to what number would the minute hand point 20 minutes before the hour hand pointed to 3?
a. 4
b. 7
c. 8
d. 11
is 8 the correct answer?
Nope, it is rotating counterclockwise.
No, 8 is not the correct answer. To determine the position of the minute hand 20 minutes before the hour hand points to 3, we need to understand the movement of the hands.
The minute hand moves at a rate of 12 times faster than the hour hand. This means that for every hour, the minute hand completes 12 full rotations while the hour hand only completes one.
Since the minute hand moves counter clockwise, it moves in the opposite direction of the hour hand. Therefore, if the hour hand is at 3, the minute hand would be approaching the 12 o'clock position.
To find the specific position of the minute hand, we need to determine how many minutes it has moved in 20 minutes. Since the minute hand completes a full rotation every 60 minutes, we can calculate the fraction of a full rotation the minute hand has moved by dividing 20 by 60.
20 minutes / 60 minutes = 1/3
Therefore, the minute hand has moved 1/3 of a full rotation in 20 minutes. If we start at the 12 o'clock position and move a third of the way round counter clockwise, we end up at the 4 o'clock position.
So, the correct answer is a. 4.
To determine the position of the minute hand 20 minutes before the hour hand points to 3 on a round clock, we can break down the problem step by step.
First, let's consider the starting point. If the hour hand points to 3, the minute hand would be pointing at exactly 12 o'clock, straight up.
Next, we need to determine how the minute hand moves. The minute hand moves 12 times as fast as the hour hand since it completes a full rotation in one hour compared to the hour hand taking 12 hours for a full rotation. So, for every hour the hour hand moves, the minute hand moves 12 hours.
Now, let's calculate the time it takes for the hour hand to move from 3 to the desired hour. Since the hour hand moves 1 hour in 60 minutes, it takes 60 minutes for the hour hand to move from 3 to the desired hour.
To find the position of the minute hand 20 minutes before the hour hand reaches the desired hour, we subtract 20 minutes from the 60-minute time period it takes for the hour hand to reach that hour.
60 minutes - 20 minutes = 40 minutes.
Therefore, the minute hand will be pointing at the 8 on the clock.
So, yes, the correct answer is c. 8.