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Using the provided table, find the distances between Johannesburg and Pretoria, Durban and Ladysmith, and Bloemfontein and Cape Town. Also, calculate the total distance for the Mabunda family's trip a

Geography

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Answer

c

1798 km\text{1798 km}

14.29 hours\text{14.29 hours}

Step-by-step solution

2 steps

Step 1: Define a distance table.
A distance table is a grid that shows the distances between a set of locations. You can find the distance between any two places by locating one place in a row and the other in a column, then finding the intersection.

Step 2: Find the distances between the specified places using Table 1.

Part a

The distance between Johannesburg and Pretoria

Locate Johannesburg in the first column and Pretoria in the first row, or vice versa. The value at their intersection is 58.
Distance = 58 km

Part b

The distance between Durban and Ladysmith

Locate Durban in the first column and Ladysmith in the first row, or vice versa. The value at their intersection is 251.
Distance = 251 km

Part c

1798 km\text{1798 km}

The distance between Bloemfontein and Cape Town

Locate Bloemfontein in the first column and Cape Town in the first row, or vice versa. The value at their intersection is 998.
Distance = 998 km

  1. Calculate the total distance traveled by the Mabunda family.

    The family's journey is: Pretoria →\to Durban →\to Bloemfontein →\to Pretoria.

    • Pretoria to Durban: 656 km
    • Durban to Bloemfontein: 667 km
    • Bloemfontein to Pretoria: 475 km

    Total distance = 656+667+475656 + 667 + 475
    Total distance = 1798 km
    The total distance traveled by the Mabunda family is 1798 km\boxed{\text{1798 km}}.

  2. Calculate the duration of travel from Ladysmith to Cape Town.

    First, find the distance from Ladysmith to Cape Town from Table 1.
    Distance (Ladysmith to Cape Town) = 1429 km
    Speed = 100 km/h
    Using the formula Time = Distance ÷\div Speed:

    Time=1429 km100 km/h\text{Time} = \frac{1429 \text{ km}}{100 \text{ km/h}} Time=14.29 hours\text{Time} = 14.29 \text{ hours}

    The duration of travel from Ladysmith to Cape Town is 14.29 hours\boxed{\text{14.29 hours}}.

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