How many minutes will the long hand take to move from 1to 8?

Answer 1

Assuming that you are referring to a clock face, the long hand represents the minute's hand. To calculate how many minutes the long hand will take to move from 1 to 8, we need to determine the angle between these two positions on the clock face.

A clock face is divided into 12 hours, and each hour represents 30 degrees (360 degrees divided by 12 hours). Thus, each minute represents 1/60th of an hour or 0.5 degrees (30 degrees divided by 60 minutes). Therefore, the angle between two consecutive minute marks on the clock face is 6 degrees (0.5 degrees multiplied by 12).

• To move from 1 to 8, the long hand must pass over 7 minute marks (1, 2, 3, 4, 5, 6, and 7), which represents an angle of 42 degrees (7 multiplied by 6).

Since the long hand moves at a constant rate, we can use the formula:

• time = (angle between the two positions) / (rate of movement)

The rate of movement for the long hand is 360 degrees per 60 minutes, or 6 degrees per minute.

Thus, the time taken for the long hand to move from 1 to 8 would be:

• time = 42 degrees / 6 degrees per minute = 7 minutes

Therefore, the long hand would take 7 minutes to move from 1 to 8 on a clock face.