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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 Southwest and 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

Using the distances given:

  • Bloemfontein to Welkom: 152 km
  • Bloemfontein to Bultfontein: 100 km

The distance from Bloemfontein to NAMPO Park can be calculated by first finding the distance via Welkom:

150 + 100 = 220 km.

Thus, the route used to indicate the distance is through Bultfontein.

Step 4

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

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Answer

To verify Alfred's timing:

  1. Calculate the total distance he travels:

    • Distance from NAMPO Park to Sasolburg: 88 km/h for time t (in hours).
  2. Use the formula to find time:

    Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}

    Rearranging gives: Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}

    Plugging in the values:

    Time=88 km88 km/h=1 hour\text{Time} = \frac{88 \text{ km}}{88 \text{ km/h}} = 1 \text{ hour}

  3. He departs at 18:45, so:

    • 18:45 + 1 hour = 19:45.
  4. Therefore, he will arrive at Sasolburg at 19:45, not at 8:00 pm. Thus, his timing is incorrect.

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