Explanation:

- The total travel time is 5 hours and 22 minutes, which is equal to 5.3667 hours.

- Define the total distance as \(D\).

- \( \frac{3}{4} \) of the distance is covered at 5 km/h: \( \frac{3}{4}D = 5t_1 \) where \( t_1 \) is the time taken.

- \( \frac{1}{4} \) of the distance is covered at 6 km/h: \( \frac{1}{4}D = 6t_2 \) where \( t_2 \) is the time taken.

- The total time is \( t_1 + t_2 = 5.3667 \).

Solve equations:

- \( t_1 = \frac{3D}{20} \)

- \( t_2 = \frac{D}{24} \)

Plug in \( t_1 + t_2 = 5.3667 \):

- \( \frac{3D}{20} + \frac{D}{24} = 5.3667 \)

- Solve for \( D \) to get 26 km.

- Option 1: 28 km/h

- Option 2: 30 km/h

- Option 3: 25 km/h

- Option 4: 26 km/h