A tourist departs from Durban at 08:15 and drives to Kokstad via the N2. The total distance is 195 km. The vehicle maintains an average speed of 105 km/h. The traveller stops for a 20-minute coffee break in Port Shepstone. Determine the arrival time in Kokstad.

The question asks to use a map (Annexure A) to describe the position of Maseru relative to Matatiele. Since Annexure A is not provided, this question cannot be answered.

$$\boxed{\text{Cannot be answered without Annexure A (the map).}}$$

Given:
Map distance = 14 mm
Actual road distance = 35 km
Claimed map scale = 1 : 500 000

First, convert the actual road distance to millimetres to match the map distance unit.

$$1 \text{ km} = 1000 \text{ m}$$ $$1 \text{ m} = 1000 \text{ mm}$$ $$1 \text{ km} = 1000 \times 1000 \text{ mm} = 1,000,000 \text{ mm}$$

So,

$$35 \text{ km} = 35 \times 1,000,000 \text{ mm} = 35,000,000 \text{ mm}$$

Now, calculate the actual map scale based on the given measurements:

$$\text{Map scale} = \text{Map distance} : \text{Actual distance}$$ $$\text{Map scale} = 14 \text{ mm} : 35,000,000 \text{ mm}$$

To express this as a ratio with 1 on the left side, divide both sides by 14:

$$\text{Map scale} = \frac{14}{14} : \frac{35,000,000}{14}$$ $$\text{Map scale} = 1 : 2,500,000$$

Compare this calculated scale to the traveler's claim:
Calculated scale: 1 : 2,500,000
Claimed scale: 1 : 500,000
Since $2,500,000 \neq 500,000$, the traveler's claim is incorrect.

$$\boxed{\text{The traveler's claim is incorrect. The calculated map scale is 1 : 2,500,000.}}$$

Given:
Total distance = 195 km
Average speed = 105 km/h
The formula for time is $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$.

$$\text{Driving time} = \frac{195 \text{ km}}{105 \text{ km/h}} \approx 1.8571 \text{ hours}$$

Convert the decimal part of the hour to minutes:

$$0.8571 \text{ hours} \times 60 \text{ minutes/hour} \approx 51.426 \text{ minutes}$$

Rounding to the nearest minute, the driving time is 1 hour and 51 minutes.

The traveler stops for a 20-minute coffee break.

$$\text{Total travel time} = \text{Driving time} + \text{Coffee break time}$$ $$\text{Total travel time} = 1 \text{ hour } 51 \text{ minutes} + 20 \text{ minutes}$$ $$\text{Total travel time} = 1 \text{ hour } 71 \text{ minutes}$$

Since 71 minutes is 1 hour and 11 minutes:

$$\text{Total travel time} = 1 \text{ hour} + 1 \text{ hour } 11 \text{ minutes} = 2 \text{ hours } 11 \text{ minutes}$$

Departure time = 08:15
Add the total travel time:

$$\text{Arrival time} = 08:15 + 2 \text{ hours } 11 \text{ minutes}$$ $$\text{Arrival time} = 10:26$$ $$\boxed{\text{Arrival time: 10:26}}$$