Using the provided table, calculate the distances between the following cities: a) Durban and Ladysmith, b) Ladysmith and Johannesburg, c) Johannesburg and Bloemfontein, d) Bloemfontein and Durban.

Here are the distances calculated from the table:

a) Durban and Ladysmith.
To find the distance between Durban and Ladysmith, locate "Durban" in the row headers and "Ladysmith" in the column headers, or vice versa.
The value at their intersection is 251.
Distance: $\boxed{\text{251 km}}$

b) Ladysmith and Johannesburg.
To find the distance between Ladysmith and Johannesburg, locate "Ladysmith" in the row headers and "Johannesburg" in the column headers, or vice versa.
The value at their intersection is 367.
Distance: $\boxed{\text{367 km}}$

c) Johannesburg and Bloemfontein.
To find the distance between Johannesburg and Bloemfontein, locate "Johannesburg" in the row headers and "Bloemfontein" in the column headers, or vice versa.
The value at their intersection is 417.
Distance: $\boxed{\text{417 km}}$

d) Bloemfontein and Durban.
To find the distance between Bloemfontein and Durban, locate "Bloemfontein" in the row headers and "Durban" in the column headers, or vice versa.
The value at their intersection is 667.
Distance: $\boxed{\text{667 km}}$