Using the constant angular speed of the two hands in radians per minute ωm = 2 π / 60 and ωh = 2 π / 12 × 60
one get the time at which the speed difference is at a maximum θm − θh = π
( ωm − ωh ) tmax = π
which gives the required configuration of the clock hands
32 minutes 44 seconds after midnight.
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