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4.1 A group of tourists drove from Johannesburg to the Madikwe Game Reserve and planned to enter the game reserve at the Abjaterskop Gate - NSC Mathematical Literacy - Question 4 - 2017 - Paper 1

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4.1 A group of tourists drove from Johannesburg to the Madikwe Game Reserve and planned to enter the game reserve at the Abjaterskop Gate. Below is a map indicating... show full transcript

Worked Solution & Example Answer:4.1 A group of tourists drove from Johannesburg to the Madikwe Game Reserve and planned to enter the game reserve at the Abjaterskop Gate - NSC Mathematical Literacy - Question 4 - 2017 - Paper 1

Step 1

4.1.1 Give the general direction of the Madikwe Game Reserve from Johannesburg.

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Answer

The general direction of the Madikwe Game Reserve from Johannesburg is North West (NW).

Step 2

4.1.2 State what the broken line (----) represents on the map.

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Answer

The broken line indicates the BORDER between South Africa and Botswana.

Step 3

4.1.3 Name the shortest route that could be used to drive from Johannesburg to the Abjaterskop Gate.

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Answer

The shortest route is to travel from Johannesburg to Zeerust via Koster, then from Zeerust to Abjaterskop Gate.

Step 4

4.1.4 Calculate the distance between Zeerust and Swartruggens if the total distance from Rustenburg to the Abjaterskop Gate is 221.2 km.

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Answer

Total distance = 221.2 km. Distance from Rustenburg to Abjaterskop Gate = 88.1 km.

Distance from Zeerust to Swartruggens = 221.2 km - 88.1 km = 133.1 km.

Step 5

4.1.5 Determine the shortest route distance from Johannesburg to Swartruggens. Show ALL calculations.

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Answer

Using the route via Koster:

  • Distance from Johannesburg to Koster = 71.9 km
  • Distance from Koster to Zeerust = 35.2 km
  • Total distance = 71.9 km + 35.2 km = 107.1 km.

Thus, the shortest route from Johannesburg to Swartruggens is 177.1 km.

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