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Tumi received a bursary to study at the University of Victoria in Canada - NSC Mathematical Literacy - Question 2 - 2021 - Paper 2

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Tumi received a bursary to study at the University of Victoria in Canada. She travelled from the University of Victoria to Victoria Downtown. ANNEXURE A shows the m... show full transcript

Worked Solution & Example Answer:Tumi received a bursary to study at the University of Victoria in Canada - NSC Mathematical Literacy - Question 2 - 2021 - Paper 2

Step 1

2.1.1 In which general direction did she head from Cedar Hill Cross Road towards Crestview?

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Answer

Tumi headed in the South East direction from Cedar Hill Cross Road towards Crestview.

Step 2

2.1.2 Determine the distance she travelled on Fort Street.

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Answer

From the summary, Tumi continued onto Fort Street after Cadboro Road. The distance she travelled on Fort Street can be derived as follows:

The total route via Cadboro Road and Pandora Avenue is 12 km (6.8 km). The distances travelled are 0.19 km (190 m) on Cedar Hill Cross Road, 3.2 km on Cadboro Road, and 2.1 km on Pandora Avenue. Therefore, the distance on Fort Street is:

extDistanceonFortStreet=6.8extkm(0.19extkm+3.2extkm+2.1extkm) ext{Distance on Fort Street} = 6.8 ext{ km} - (0.19 ext{ km} + 3.2 ext{ km} + 2.1 ext{ km})

Calculating this gives: extDistanceonFortStreet=6.8extkm5.49extkm=1.31extkm ext{Distance on Fort Street} = 6.8 ext{ km} - 5.49 ext{ km} = 1.31 ext{ km}

Step 3

2.1.3 The route she travelled on after crossing Fort Street.

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Answer

After crossing Fort Street, Tumi made a slight right onto Pandora Avenue, covering the remaining distance of 2.1 km until her destination.

Step 4

2.1.5 Calculate (in metres) the difference between the distances of the two routes.

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Answer

For the second route, travelling from the University of Victoria to Victoria Downtown via Shelburne, the speed was 36.5 km/h. If we denote the time taken for this route as tt hours, the distance can be calculated using:

extDistance=36.5extkm/himest ext{Distance} = 36.5 ext{ km/h} imes t

However, since we need the comparison, let’s say the total distance for the Cadboro and Pandora route is 6.8 km (or 6800 meters). The respective distance for the Shelburne route needs to be calculated in time, multiplying speed by time to find a comparable measurement in meters. The exact distance travelled via this route must be known to identify the precise difference.

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