A parade is one mile in length and is going to march a distance of one mile. An officer is alongside of the leader on his motorcycle and at the same time the parade begins to move forward, the officer begins to move backwards, encircling the parade and both he and the parade leader, arrive at the one mile distant point at the same time.

Question: how far did the officer travel? It is assumed that the officer and the parade both moved at a steady pace, both starting and arriving at the same time.

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Answers :  Soarer