SOLUTION: My clock chimes two times 15 minutes after the hour, four times 30 minutes after the hour and six times 45 minutes after the hour. The clock also chimes eight times on each hour

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Question 935829: My clock chimes two times 15 minutes after the hour, four
times 30 minutes after the hour and six times 45 minutes after the
hour. The clock also chimes eight times on each hour in addition to
chiming the number of times equal to the hour. (So at 2:00 p.m., the
clock chimes 8 + 2 = 10 times.) Starting at 12:05 a.m., how many times
does the clock chime in a 24-hour period?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
From 12:05 to 1:05 the clock chimes:
+2+%2B+4+%2B+6+%2B+8+=+20+ plus zero for the hour
From 1:05 to 2:05 the clock chimes:
+20+ plus +1+ for the hour
---------------------
In a +24+ hr period, it chimes:
+24%2A20+=+480+ plus
2*( 1 + 2 + 3 + 4 + . . . + 11 )
This is:
+480+%2B+2%2A%28+n+%29%2A%28+n%2B+1+%29+%2F+2+
where +n+=+11+
+480+%2B+%28+2%2A11%2A12+%29+%2F+2+=+480+%2B+132+
+480+%2B+132+=+612+
The clock chimes 612 times in 24 hours