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How many times a day do the hour hand and minute hand of a clock lie in a straight line?

The two lie on the same line when they are pointing in the same and opposite directions.

That happens twice every hour, but there’s an overlap every 12 hours.

So they are collinear 47 times in a 24 hour day.

The two lie on the same line when they are pointing in the same and opposite directions.

That happens twice every hour, but there’s an overlap every 12 hours.

So they are collinear 47 times in a 24 hour day.

Count them here:

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