Yet Another Track Puzzle

This is another problem from Dan Griller.

“When Anthony and Benjamin run round a circular track in the same direction at constant but different speeds, they meet every 3 minutes.  When Benjamin changes direction (but maintains his speed) they meet every 40 seconds.

If Anthony is faster than Benjamin, calculate

(speed of Anthony) / (speed of Benjamin)”

Answer.

See Yet Another Track Puzzle for a solution.