When the Swiss didn't have so much experience yet with making clocks, a painful mistake was made with a church clock. The clock was officially put into use when it showed 6 o'clock. But soon it was noticed that the hour hand and minute hand had been interchanged and attached to the wrong axes.
The result was that the hour hand moved with a speed precisely 23 times higher than the minute hand. When the clock maker arrived, a remarkable thing happened: on the moment he inspected the clock, it showed exactly the right time again.
If the clock started at 6 o'clock in the correct position, then what was the first moment that it showed the correct time again?
(In reply to
Solution ? by Larry)
"If there is a known absolute speed of the two hands, then there will be a different answer."
This is my point. There is indeed one single (and unknown) speed of the bad minute hand (on the hour axis). Then the speed of the hour hand on the minute axis is 23 times faster. I do not see where your solution relates back to the "first moment that it showed the correct time again?" This "first moment" can only be time measured on a "good" clock after 6 o'clock
Ex: what if the bad minute hand was 1,000,000 times slower than a normal hour hand? What if it was 1,000,000 time faster? These would clearly be two very different solutions.
Am I missing something?
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Posted by Kenny M
on 2023-04-29 06:30:48 |
re: Solution ?
