A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle.
Let ABCD be a regular tetrahedron and let P be the unique point equidistant from points A,B,C,D. Extend AP to hit face BCD at point Q. What is the ratio PQ/AQ? Please not only give answer, but also give eme the solution or solutions if you could find any. There is no picture for this problem.