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
re: Solution ? by Kenny M)
I think you are exactly correct.
I think the problem is ambiguous.
Either the minute hand has a specific known speed which was unfortunately omitted from the problem, in which case there is one specific time solution but we can't find it because we don't know the minute hand's speed. (or potentially no solution)
or
We can set the speed of the minute hand to whatever we want. I forget what terminology I used, but I'm making a distinction between correct time and a valid time, where valid means the position of each hand is at an appropriate angle that defines some time.
Another interpretation of the problem could be "when is the first time that the clock registers a valid time (ignoring whether it corresponds to the actual correct time), in which case it would be the first line that printed out.
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Posted by Larry
on 2023-04-30 00:34:34 |
re(2): Solution ?
