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An annual agricultural agricultural show is held at NAMPO Park in the Free State in May - NSC Mathematical Literacy - Question 1 - 2019 - Paper 2

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An annual agricultural agricultural show is held at NAMPO Park in the Free State in May. Farmers and other interested people visit this show to see the latest develo... show full transcript

Worked Solution & Example Answer:An annual agricultural agricultural show is held at NAMPO Park in the Free State in May - NSC Mathematical Literacy - Question 1 - 2019 - Paper 2

Step 1

1.1.1 Name the TWO towns closest to NAMPO Park.

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Answer

The two towns closest to NAMPO Park are Bothaville and Viljoenskroon.

Step 2

1.1.2 Give the TWO general compass directions that a visitor must use to travel by car from OR Tambo Airport, via Klerksdorp, to reach NAMPO Park.

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Answer

The two general compass directions a visitor must use are South West and South.

Step 3

1.1.3 The distance from Bloemfontein to Welkom is 152 km and the distance from Bloemfontein to Bultfontein is 100 km. Determine, with calculations, the route the organisers used to indicate the distance from Bloemfontein to NAMPO Park.

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Answer

To find the route distance from Bloemfontein to NAMPO Park:

  1. First, calculate the distance from Bloemfontein to Welkom which is 152 km.
  2. From Welkom to Bultfontein is 52 km (152 km - 100 km).
  3. Total distance from Bloemfontein to NAMPO Park = Distance(Bloemfontein to Welkom) + Distance(Welkom to NAMPO Park).
  4. Using the route: Bothaville → Bultfontein → NAMPO Park gives us a route of 100 km to Bultfontein + 18 km to NAMPO Park, totaling 118 km.

Step 4

1.1.4 Verify, with calculations, whether his timing is correct.

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Answer

To verify Alfred's timing:

  1. The total time taken from 18:45 to 20:00 is 1 hour and 15 minutes.

  2. Calculate distance traveled at 88 km/h for 1.25 hours:

    Distance=Speed×Time=88km/h×1.25h=110kmDistance = Speed \times Time = 88 \, \text{km/h} \times 1.25 \, \text{h} = 110 \, \text{km}
  3. Since he is expected to arrive in Sasolburg at 20:00, we need to check if he travels 110 km in the given time. Hence, his timing is correct.

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