The problem of alarm clock in mathematics

Knock five times at five o'clock, with four intervals lasting six seconds. It can be seen that each interval lasts 1.5 seconds. The time required to knock 9 times at 9 o'clock confirms the above calculation.

Whenever you knock on the door, the interval is always 1 less than hours. The total interval for the clock to strike within 24 hours is:

2*(0+ 1+2+3+4+5+6+7+8+9+ 10+ 1 1)= 132

So the time required to ring the bell is:

1.5 *132 =198 (seconds)