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Using the provided distance table, calculate the distance between Bergville and Ladysmith and between Cape Town and Bloemfontein. Also, calculate the total distance of a trip from Durban to Johannesbu

Geography

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Step-by-step solution

4 steps

2.2.1:
A. Step 1: Locate Bergville and Ladysmith in the distance table.
The distance between Bergville and Ladysmith is found by looking at the intersection of the Bergville row/column and the Ladysmith row/column.

Distance=96 km\text{Distance} = 96 \text{ km}
  • Distance between Bergville and Ladysmith: 96 km\boxed{96 \text{ km}}

B. Step 1: Locate Cape Town and Bloemfontein in the distance table.
The distance between Cape Town and Bloemfontein is found by looking at the intersection of the Cape Town row/column and the Bloemfontein row/column.

Distance=1052 km\text{Distance} = 1052 \text{ km}
  • Distance between Cape Town and Bloemfontein: 1052 km\boxed{1052 \text{ km}}

2.2.2:

  1. Identify the legs of the journey and their distances from the table.

    • Durban to Johannesburg: 598 km598 \text{ km}
    • Johannesburg to Bloemfontein: 417 km417 \text{ km}
    • Bloemfontein to Durban: 607 km607 \text{ km}
  2. Calculate the total distance traveled.

    Total distance=Distance (Durban to Johannesburg)+Distance (Johannesburg to Bloemfontein)+Distance (Bloemfontein to Durban)\text{Total distance} = \text{Distance (Durban to Johannesburg)} + \text{Distance (Johannesburg to Bloemfontein)} + \text{Distance (Bloemfontein to Durban)} Total distance=598 km+417 km+607 km\text{Total distance} = 598 \text{ km} + 417 \text{ km} + 607 \text{ km} Total distance=1622 km\text{Total distance} = 1622 \text{ km}
    • Total distance traveled by the Zikalala family: 1622 km\boxed{1622 \text{ km}}

    2.2.3:

  3. Identify the distance and average speed for the journey from Bloemfontein to Durban.

    • Distance (Bloemfontein to Durban) = 607 km607 \text{ km} (from 2.2.2)
    • Average speed = 100 km/h100 \text{ km/h}
  4. Calculate the time taken using the formula Time=DistanceSpeed\text{Time} = \frac{\text{Distance}}{\text{Speed}}.

    Time=607 km100 km/h\text{Time} = \frac{607 \text{ km}}{100 \text{ km/h}} Time=6.07 hours\text{Time} = 6.07 \text{ hours}
    • Time taken to get back to Durban: 6.07 hours\boxed{6.07 \text{ hours}}

    2.2.4:
    Two reasons why the actual time arrived at in 2.2.3 can differ from the calculated time, even if the average driving speed is 100 km/h, are:

    • Stops for rest, fuel, or food: Drivers often make stops during long journeys, which add to the total travel time but are not included in the pure driving time calculation.
    • Traffic congestion or road construction: Unexpected delays due to heavy traffic, accidents, or roadworks can significantly extend the duration of the trip beyond the estimated driving time.
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