Racing to Hermanus: Solving for the Distance Traveled by Car A and Car B

To find the distance between Cape Town and Hermanus, we need to calculate the distance each car travelled and then compare the results. First, convert all hours to the same unit for simplicity. Since 1 hour = 60 minutes, 12 minutes = 0.2 hours and 2 hours = 120 minutes. Car A Car A first travelled for 0.2 hours at 100km per hour: Distance = Speed * Time Distance_A1 = 100 * 0.2 = 20 km Car A then travelled for 2 hours at 80km per hour: Distance_A2 = 80 * 2 = 160 km So, total distance that Car A travelled = Distance_A1 + Distance_A2 = 20 + 160 = 180 km Car B Car B travelled for the whole trip at 90 km per hours for 2 hours 12 minutes which equals to 2.2 Hours: Distance_B = Speed * Time Distance_B = 90 * 2.2 = 198 km Given the same starting and ending locations, the distance travelled by the two cars should be same. But we got different results (180 km travelled by Car A and 198 km travelled by Car B), which suggests a mistake in the problem. Please recheck the problem and provide the correct details. As per the details provided, the distance should be the lower one which 180 km as per car A distance calculation. However, if there is no mistake in the provided details, we can take the average distance covered by both cars as an approximate distance. The approximate distance = (Distance_A + Distance_B) / 2 = (180 + 198) / 2 = 189 km. So, the approximate distance between Cape Town and Hermanus is 189 km.