One more Mathcad-clock

[ValeryOchkov]

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

The answer must be hh:mm:ss.xxxxxx

[Liv]

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.

[Werner_E · Accepted solution]

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°).