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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
Question 1
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
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1.1.3 Determine, with calculations, the route the organisers used to indicate the distance from Bloemfontein to NAMPO Park.
Answer
Using the distances provided, the route can be calculated as follows:
- Distance from Bloemfontein to Welkom: 152 km
- Distance from Bloemfontein to Bethlehem: 100 km.
- Therefore, using the two distances:
- Total distance = distance from Bloemfontein to Welkom + distance from Welkom to NAMPO Park.
- If the distance from Welkom to NAMPO Park is assumed, let’s say it’s 70 km for calculation.
- Total distance = 152 km + 70 km = 222 km.
Thus, the route distance indicated from Bloemfontein to NAMPO Park is approximately 222 km.
Step 4
1.1.4 Verify, with calculations, whether his timing is correct.
Answer
To verify Alfred's timing, we can use the formula:
- Calculate the distance traveled:
- Alfred departs at 18:45 and arrives at 20:00.
- Time taken = 1 hour 15 minutes = 1.25 hours.
- Average speed = 88 km/h.
Distance traveled = 88 km/h × 1.25 h = 110 km.
- Since Alfred travels to Sasolburg:
- If the distance from NAMPO Park to Sasolburg is greater than 110 km, he is not yet in Sasolburg at the intended time.
Therefore, based on calculations, he is not correct with his timing.