stroke tower the bell tower of university of california at s

stroke tower, the bell tower of university of california at santa barbara chimes ever hour at 10 min before the hour(to remind students to get to class ) and also on the hour(to rem in students their late). the tower chimes 24 hours a day but uses a 12 hour clock (for example it chimes 12 times at midnight and at noon) every time it chimes it plays a 16 note tune which is broken into four parts of 4 notes each. each note lasts 1 sec and there is a 1 sec pause at the end of each 4 notes. in addition when it chimes on the hour it also chimes out the time. so at 10 o\'clock t would chime 10 times more after going through its 16 note tune. when it chimes for the hour the chimes last 1 sec and there is a 1 sec pause between chimes. there is a 3 sec pause between he end of the 16 note tune and the beginning of the hour chimes. how much time every day does the bell tower spend chiming including the pauses between chimes?

Solution

well first find the number of times it chimes. add all the times it chimes per hour, and multiply by 2 because there\'s 2 sets of 12 hours in a 24 hour day:
2(1+2+3+4+5+6+7+8+9+10+11+12)= 156

then find the times it spends chiming. the 16 note tune takes 16 seconds and there\'s 4 seconds in between, so that\'s 20, and you multiply that by 24 since it happens 24 times a day. then multiply the 152 we got before by 2 because those chimes take 2 seconds. then add the 3 seconds in between and multiply by 24 for the hours in a day:
24(16+4)+(156x2)+(3x24)= 864 seconds

if you need it in minutes 864/60= 14.4 minutes