Explanation:

- Initially, A drives at 45 km/h and is 4 minutes late.

- If A drives at 60 km/h, A is 5 minutes early.

- The difference in time when driving at 45 km/h and 60 km/h is 9 minutes (4 minutes late and 5 minutes early).

- Convert the 9 minutes to hours, which is 9/60 hours or 0.15 hours.

- Let the distance be \(d\).

- From the problem, \(\frac{d}{45} - \frac{d}{60} = 0.15\).

- Solve the equation:

- \(\frac{d \times (60 - 45)}{45 \times 60} = 0.15\)

- \(\frac{15d}{2700} = 0.15\)

- \(d = 0.15 \times \frac{2700}{15}\)

- \(d = 27\) km

- The correct distance is 27 km.

Option 3: 27 km is the correct answer.