SOLUTION: If a grandfather clock takes 30 seconds to strike six, how long does it take to strike 12? THINK! This one is not as easy as it may seem.

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Question 1099709: If a grandfather clock takes 30 seconds to strike six, how long does it take to strike 12? THINK! This one is not as easy as it may seem.

Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
There are two answers.
If you're looking for the duration of the clock striking itself, since it takes 30 seconds to strike 6 times,
it would take twice as long to strike twice as many times. So it would take 60 seconds to strike 12.
The second answer would be that since it strikes at 6, then there are 6 hours until it strikes 12 o'clock.
So in terms of elapsed time it would take the 6 hours plus the 60 seconds to strike 12. So that answer would be 361 minutes.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
If a grandfather clock takes 30 seconds to strike six, how long does it take to strike 12? THINK! This one is not as easy as it may seem.
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A beatiful Wikipedia article https://en.wikipedia.org/wiki/Striking_clock says:

    A striking clock (also known as chiming clock) is a clock that sounds the hours audibly on a bell or gong. 
    In 12-hour striking, used most commonly in striking clocks today, the clock strikes once at one a.m., twice at two a.m., 
    continuing in this way up to twelve times at 12 noon, then starts again, striking once at one p.m., 
    twice at two p.m., up to twelve times at 12 midnight.

Armed with this knowledge,  let me re-solve this problem by another way.

The striking clock,  when striking  six,  has  5  (five)  time intervals between the strikes.

It means that each such time interval is    = 6 seconds.

12 strikes have  11 time intervals between the very first and very last strikes.

Hence,  it will take (6 seconds * 11 intervals) = 66 seconds from the first strike to the last one.


----------------------------
Dear TUTORS !   It is well known  (and one can say even  FAMOUS !)  entertainment problem for children of the  1 - 2 - 3 grade (!!!),

                            and each generation re-opens it again and again.


This problem counts as many years as striking clocks do exist:  hundreds years.


And   (or  BUT)    the   solution   remains   the   same  .  .  . (as it is written everywhere).



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