math question: OG math, green book

in order of your questions:
- yes
- the time that you hear the sound is the same as the time you dont hear (silence between strikes)
- exactly, also you can say from first "ding" to the end of the last "ding"
- questions asks this time for 12 o'clock.

so:

just count: first strike + first silent + second ...+ 6th strike
so 2 sec for "ding" and 2 sec for silent
(you must not add last silent)
therefore the answer is 46.

tip: 6*2*X - X=22 => X=2
12*2*2 - 2=46
clear?

I will never understand this question

Yup, it's 46...

To explain this, semidevil try to imagine those grandfather clocks....

the problem just says that the clock signifies every hour, by sounding a number of times which is equal to the hour it is....

now, if it is 4 p.m., the clock will sound 4 times. and in between each of these sounds, there will be a break, the duration of which will be equal to the duration of the sound.

However, it is important to note that the number of breaks between the sounds, will be 1 less than the number of sounds itself.

Hence, when the clock sounds 6 times, there are 5 breaks between them...

so, if x = duration of the sound/break ( they are the same)

Hence, 11x = 22

hence, x =2

Now, for 12 pm/am

there will be 12 sounds, which will be separated by 11 breaks, hence,

(12 + 11) X 2 = 46secs

DavoodBeater wrote:in order of your questions:
- yes
- the time that you hear the sound is the same as the time you dont hear (silence between strikes)
- exactly, also you can say from first "ding" to the end of the last "ding"
- questions asks this time for 12 o'clock.

so:

just count: first strike + first silent + second ...+ 6th strike
so 2 sec for "ding" and 2 sec for silent
(you must not add last silent)
therefore the answer is 46.

tip: 6*2*X - X=22 => X=2
12*2*2 - 2=46
clear?

Thanks for the explanation