Explanation:

- Person A travels from P to Q in 8 hours. He starts at 8 a.m.

- So, Person A's speed is (Distance from P to Q) divided by 8.

- Person B travels from Q to P in 12 hours. He starts at 9 a.m.

- Thus, Person B's speed is (Distance from Q to P) divided by 12.

- Let's assume the distance is D.

- The meeting point occurs when the sum of the distances covered by both equals D.

- In t hours, Person A covers (D/8) * t and Person B covers (D/12) * (t-1).

- Solving (D/8)*t + (D/12)*(t-1) = D gives t = 4.8 hours after 8 a.m.

- Converting 4.8 hours into hours and minutes: 4 hours and 48 minutes.

- Meeting time: 8 a.m. + 4 hours 48 minutes = 12:48 p.m.

Therefore, none of the options are correct.