24-Ruby IV

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One more Mathcad-clock

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Can you solve it in Mathcad with the Given-Find (or others) tool?

The answer must be hh:mm:ss.xxxxxx

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25-Diamond I

Thats a quite old thread you excavate here 😉

Its one of Valery's jokes - a mission impossible.

You would have to solve two equations for just one variable - no solutions!

We have 22 time of days (from 00:00:00 to 12:00:00) where minute and hour hand have a 120° angle.

In none of those positions the other angles come close enough to 120° . Closest at 02:54:32.73 and 09:05:27.27 (130,9° and 109,1°).

7-Bedrock

The answer must be hh:mm:ss.xxxxxx

Why xxxxxx ?

Most common real clocks have only integers for seconds.

Therefore I think more interesting to try to solve the problem for integers, at least for seconds.

Best, Liv.

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Answer

25-Diamond I

Thats a quite old thread you excavate here 😉

Its one of Valery's jokes - a mission impossible.

You would have to solve two equations for just one variable - no solutions!

We have 22 time of days (from 00:00:00 to 12:00:00) where minute and hour hand have a 120° angle.

In none of those positions the other angles come close enough to 120° . Closest at 02:54:32.73 and 09:05:27.27 (130,9° and 109,1°).

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