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2013 AMC 12B Question 11

AMC12 · 2013 AMC 12B

Question 11

Two bees start at the same spot and fly at the same rate in the following directions. Bee $A$ travels $1$ foot north, then $1$ foot east, then $1$ foot upwards, and then continues to repeat this pattern. Bee $B$ travels $1$ foot south, then $1$ foot west, and then continues to repeat this pattern. In what directions are the bees traveling when they are exactly $10$ feet away from each other?
  1. $A$ east, $B$ west
  2. $A$ north, $B$ south
  3. $A$ north, $B$ west
  4. $A$ up, $B$ south
  5. $A$ up, $B$ west