When it is 9:00, the hour hand on an analog clock is 270$^\circ$ ahead of the minute hand. how many minutes elapse (to three significant digits) before the minute hand next points in the same direction

When it is 9:00, the hour hand on an analog clock is 270$^\circ$ ahead of the minute hand. how many minutes elapse (to three significant digits) before the minute hand next points in the same direction as the hour hand?

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