This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
South-East
Step 1: Locate Clanwilliam and Worcester on the map. Clanwilliam is in the north, and Worcester is in the south-east.
Step 2: Determine the general direction. From Clanwilliam, Worcester is generally to the South-East.
The general direction of Worcester from Clanwilliam is .
Step 1: Identify the actual distance and the map distance. Actual distance = Map distance =
Step 2: Calculate the scale as a ratio. The scale is the ratio of map distance to actual distance.
Step 3: Convert units to be the same and simplify to a unit ratio. Convert kilometres to millimetres: . Now, the scale is: Divide both sides by 82 to get a unit ratio: The scale of the map is .
Step 1: Identify the given values. Distance = Speed =
Step 2: Use the formula to calculate the travel time in hours.
Step 3: Convert the decimal part of the hours into minutes. The whole number part is 2 hours. The decimal part is . Rounding to the nearest minute, this is 21 minutes.
It will take Nandipha's aunt approximately .
Step 1: Identify the departure time and travel time. Departure time = 13:50 Travel time = 2 hours and 21 minutes (from 4.2.3)
Step 2: Add the travel time to the departure time. Start with hours: . Start with minutes: .
Step 3: Convert excess minutes to hours. . Add this 1 hour to the 15 hours: . So, the arrival time is 16 hours and 11 minutes.
Nandipha's aunt will arrive at the Art Exhibition at .
Step 1: Calculate the normal petrol consumption for a single trip of 246 km. Fuel consumption rate = .
Step 2: Calculate the increased petrol consumption (20% more).
Step 3: Compare the increased consumption to 20 litres and state agreement/disagreement. The increased consumption is . The aunt insists she will use less than 20 litres. Since , her insistence is incorrect.
I with her. She will use , which is more than 20 litres.
Step 1: Consider factors that could affect travel time. The exhibition starts at 16:00. She arrives at 16:11 if she leaves at 13:50. This means she would already be late. Factors that could cause further delays or make her even later include: • Traffic congestion • Road construction or detours • Unexpected vehicle issues (e.g., flat tire) • Needing to stop for fuel or rest • Getting lost or taking a wrong turn • Weather conditions (e.g., rain, fog)
One factor Nandipha's aunt should consider is .
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4.2.1 Step 1: Locate Clanwilliam and Worcester on the map. Clanwilliam is in the north, and Worcester is in the south-east.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.