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1968 AMC 12 Question 32

AMC12 · 1968 AMC 12

Question 32

$A$ and $B$ move uniformly along two straight paths intersecting at right angles in point $O.$ When $A$ is at $O,$ $B$ is $500$ yards short of $O.$ In $2$ minutes they are equidistant from $O,$ and in $8$ minutes more they are again equidistant from $O.$ Then the ratio of $A$’s speed to $B$’s speed is:
  1. $4:5$
  2. $5:6$
  3. $2:3$
  4. $5:8$
  5. $1:2$