Final answer:
Ann completes 4 laps, John completes 3 laps, and it takes 36 minutes for them to meet again at the starting line.
Step-by-step explanation:
Let's start by finding the common multiple of 9 and 12, which is 36. This means that after 36 minutes, both Ann and John will be back at the starting line.
To find out how many laps Ann completes, we can divide 36 (total time) by 9 (time per lap). The result is 4. So Ann completes 4 laps.
To find out how many laps John completes, we can divide 36 (total time) by 12 (time per lap). The result is 3. So John completes 3 laps.
Since Ann completes 4 laps and each lap takes 9 minutes, the total time it takes Ann to meet John again at the starting line is 4 x 9 = 36 minutes.