Question

Alice and Bob play a game involving a circle who circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

Answer 1

Find a multipleof 5 and 9 that is divisible by 12.
180/12 = 15 (first whole number)
180/9 = 20 turns.
I'm pretty sure about this. (80%)

Answer 2

ok thank you