Respuesta :
Answer: At 01:05 p.m. it will overlap again.
Explanation:
Since there are 22 times in a day the minute and the hour hands overlap.
During the first half of the day , it overlaps 11 times and during the rest of the day it overlap 11 more times.
At noon, the minute and the hour hands overlap and after that it will happen at 01:05 p.m.
Since the minute hand completes a full circle in one hour, so it forms 6 degrees per minute .
So, at 01:05 p.m. it will overlap again.
Answer: 1 hour and 60/11 minutes.
Explanation:
How many degrees the Minute Hand Travels in 1 minute: 6º
How many degrees the Hour Hand Travels in 1 minute: 0.5º
If x is the number of minutes the clock traveled after 1 o'clock to reach the next meeting point,
The degrees that the minute hand traveled is 6 * x = 6xº
The degrees that the hour hand traveled is 0.5 * x = 0.5xº
In 12 hours the hour hand travels 360º,
So, in 1 hour, it travels 30º
Total number of degrees the clock traveled after 1 o'clock to reach the next meeting point,
6x = 30 + 0.5x
6x because the minute hand starts at the beginning.
30 because that counts for the number of degrees covered until 1 o'clock.
0.5x because that counts for the number of degrees the hour hand travels after 1 o'clock.
6x = 30 + 0.5x
5.5x = 30
55x = 300
x = 300/55 = 60/11
If you add back that one hour, then it becomes 1 hour and 60/11 minutes.
