Explanation:

- Let's define the speeds of A and B as 3x and 5x, respectively.

- Since speed is inversely proportional to time for a fixed distance, A takes 5t time, and B takes 3t time.

- It is given that A takes 30 minutes more than B to reach the destination.

- Therefore, the equation is: \(5t = 3t + \frac{1}{2}\) (since 30 minutes is 0.5 hours).

- Solving this, \(2t = \frac{1}{2}\), so \(t = \frac{1}{4}\) hours.

- This makes A's time: \(5 \times \frac{1}{4} = \frac{5}{4}\) hours or 1 hour and 15 minutes.

- Option 1: 1 hour 15 minutes is the correct answer.