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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 are:

  1. South West
  2. South.

Step 3

1.1.3 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 distance from Bloemfontein to NAMPO Park, we can use the following values:

  • Distance from Bloemfontein to Welkom: 152 km
  • Distance from Welkom to Bultfontein: 70 km
  • Distance from Bloemfontein to Bultfontein: 100 km.

Calculation:

  1. The distance from Bloemfontein to NamPo Park can be calculated by either route:
    • Via Welkom: 152 km + 70 km = 222 km.
    • Via Bultfontein: 100 km + 70 km = 170 km.

Thus, the route used by the organisers is:

  • Bloemfontein -> Welkom -> NAMPO Park: 222 km.
  • Bloemfontein -> Bultfontein -> NAMPO Park: 170 km.

Hence, one of the options is acceptable.

Step 4

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

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Answer

To verify if Alfred's timing is correct, we will calculate the time taken to cover the distance from NAMPO Park to Sasolburg:

  1. Calculate the time using the formula:

    extTime=DistanceSpeed ext{Time} = \frac{\text{Distance}}{\text{Speed}}

    Distance = 220 km, Speed = 88 km/h.

    Therefore, the time taken is:

    Time=220 km88 km/h=2.5 hours\text{Time} = \frac{220 \text{ km}}{88 \text{ km/h}} = 2.5 \text{ hours}.

  2. If Alfred departs at 18:45 and takes 2.5 hours, he should arrive at:

    18:45 + 2 hours 30 minutes = 21:15.

  3. Since Alfred claims he will arrive at 20:00, his timing is incorrect.

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