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Problem of the Day #289: Escape! January 2, 2012

Posted by Sreenath in : potd , trackback

Albert and Alex are playing tag. Since Albert is too fast for Alex to catch, Alex decides to make a robot to tag him. The robot moves twice as fast as Albert. The robot moves directly towards Albert at all times.

Albert begins at the origin, and the robot begins at $(0,1)$. If the robot tags Albert at the point $(x,0)$, find $x$.

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