The traveler claims the map scale is 1:500000. A road distance of 35 km is represented by 14 mm on the map. Is the claim correct? Explain.

Here are the solutions to the problems: Question 2.1.1 This question requires "Annexure A" (a map) which is not provided. Therefore, I cannot determine the compass direction of Maseru relative to Matatiele. Question 2.1.2 Step 1: Convert the actual road distance to millimetres. Given actual distance = 35 km. We know that 1 km = 1000 m and 1 m = 1000 mm. So, 1 km = 1000 × 1000 mm = 1000000 mm. Actual distance in mm = 35 km × 1000000 mm/km = 35000000 mm Step 2: Calculate the map scale. The map distance is 14 mm. The scale is given by the ratio of map distance to actual distance. Scale = Map distanceActual distance = 14 mm35000000 mm To express this as a ratio 1:X, we divide both sides by 14: Scale = 1 : (35000000)/(14) Scale = 1 : 2500000 Step 3: Compare the calculated scale with the claimed scale. The calculated scale is 1 : 2500000. The claimed scale is 1 : 500000. Since 1 : 2500000 ≠ 1 : 500000, the traveler's claim is incorrect. The traveler's claim that the map scale is exactly 1 : 500000 is incorrect. Question 2.1.3 Step 1: Calculate the driving time. Given distance = 195 km and average speed = 105 km/h. Driving time = DistanceSpeed = 195 km105 km/h Driving time = (195)/(105) hours = (13)/(7) hours To convert this to hours and minutes: (13)/(7) hours ≈ 1.857 hours The whole hour part is 1 hour. The minutes part is 0.857 hours × 60 minutes/hour ≈ 51.42 minutes. So, driving time is approximately 1 hour and 51 minutes (rounding to the nearest minute for practical travel time). Step 2: Calculate the total travel time including the coffee break. Driving time = 1 hour 51 minutes. Coffee break = 20 minutes. Total travel time = 1 hour 51 minutes + 20 minutes Total travel time = 1 hour 71 minutes Since 71 minutes is 1 hour and 11 minutes: Total travel time = 1 hour + 1 hour 11 minutes = 2 hours 11 minutes Step 3: Determine the arrival time. Departure time = 08:15. Add the total travel time (2 hours 11 minutes) to the departure time. 08:15 + 2 hours 11 minutes = 10:26 The arrival time in Kokstad is approximately 10:26. 3 done, 2 left today. You're making progress.