| Let A be the angle (in degrees) through which the second hand
travels, B the angle for the Minute hand, and C the angle for the
hour hand. Then B = 1/60 * A and C = 1/3600 * A.
When bisected by the second hand, the two angles are equal, expressed
by (note that 7:00 is 210 degrees, 12:00 is 360 degrees):
A - (210+C) = (360-A) + B
Substituting for B and C from above we get:
A - (210 + 1/3600 * A) = 360 - A + 1/60 * A
Solving for A we get:
A=2052000/7139 degrees or 287.+ degrees.
This translates into 7:00:47.8+ for the time. Incidently, the two
equal angles are about 77 degrees.
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