A clock chimes once at 1:00, twice at 2:00, three times at 3:00, and so on, until it chimes 12 times at 12:00. If it chimes exactly once at 1:00 PM and 12 times at 12:00 midnight, how many chimes will the clock make in 24 hours?
The Missing Minute Riddle
Hint;
The key here is to focus on how many times the clock chimes during a full day. The clock chimes a number of times equal to the hour: once at 1:00, twice at 2:00, and so on, up to 12 times at 12:00.
To find the total number of chimes in 24 hours, you’ll need to account for the 12 hours of the day (from 1:00 to 12:00) and then repeat that for the second cycle of 12 hours (from 1:00 PM to 12:00 AM).
Try adding up the chimes for the first 12 hours and then doubling it for the second 12 hours!
The clock chimes once at 1:00, twice at 2:00, three times at 3:00, and so on, until it chimes 12 times at 12:00.
You need to calculate how many chimes the clock makes in 24 hours.
Step-by-Step Breakdown:
First 12 hours: The total number of chimes during the first 12 hours is the sum of the numbers from 1 to 12 (because it chimes once at 1:00, twice at 2:00, etc.).
1+2+3+4+5+6+7+8+9+10+11+12=78chimes
Second 12 hours: The second set of 12 hours (from 1:00 PM to 12:00 AM) will repeat the same pattern, so the total chimes in the second cycle is also 78 chimes.
