Wee hours

Algebra Level 5

Shortly after 3 o'clock, I look at a clock. The hands of the clock, listed clockwise, are in the order: hour-minute-second.

Moreover, the angle between the hour hand and the minute hand is the same as the angle between the minute hand and the second hand.

How many seconds after 3 o'clock is it? Round off to the nearest integer. Find the smallest positive solution.

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