I happen to look at the clock and notice that the angle between the hour hand and the minute hand is precisely 90 degrees.

How long, to the nearest second, until the angle between the hands is again 90 degrees?

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I happen to look at the clock and notice that the angle between the hour hand and the minute hand is precisely 90 degrees.

How long, to the nearest second, until the angle between the hands is again 90 degrees?