How many times do the hour and second hands meet in a day?
| June 1, 2021 | education
The dial is divided into 12 hours. In this case, the full circle of the hour hand is half a day (since 1 day = 24 hours). It turns out that in one day the hour hand makes 2 complete revolutions around the dial.
The second hand makes a full revolution around the dial every minute. Since 1 day = 24 hours = 1440 minutes, in one day the second hand makes 1440 full revolutions around the dial.
At the same time, 2 times a day there will be such a moment when the second hand will go a full circle without meeting the hour hand, since the hour hand is also moving.
Therefore:
N = 1440 – 2 = 1438 times.
Answer: in one day, the second and hour hands will meet 1438 times.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
