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Study the distance table below and answer the questions that follow.

Distance Table

[tex]\[
\begin{array}{|l|c|c|c|c|c|c|}
\hline
& \text{Durban} & \begin{array}{c} \text{Johannes-} \\ \text{burg} \end{array} & \text{Pretoria} & \begin{array}{c} \text{Bloem-} \\ \text{fontein} \end{array} & \text{Gqeberha} & \begin{array}{c} \text{Cape} \\ \text{Town} \end{array} \\
\hline
\text{Durban} & & 598 & 666 & 667 & 927 & 1660 \\
\hline
\begin{array}{c} \text{Johannes-} \\ \text{burg} \end{array} & 598 & & 58 & 417 & 1062 & 1405 \\
\hline
\text{Pretoria} & 666 & 58 & & 475 & 1120 & 1463 \\
\hline
\begin{array}{c} \text{Bloem-} \\ \text{fontein} \end{array} & 667 & 417 & 475 & & 635 & 998 \\
\hline
\text{Gqeberha} & 927 & 1062 & 1120 & 635 & & 756 \\
\hline
\text{Cape Town} & 1660 & 1405 & 1463 & 998 & 756 & \\
\hline
\end{array}
\][/tex]

Questions:

2.1 Calculate the total distance a tourist will travel from Durban to Cape Town via Johannesburg and Bloemfontein.
Note: Durban to Johannesburg to Bloemfontein to Cape Town.

2.2 The tourist travels at an average speed of [tex]$100 \text{ km/h}$[/tex].
Calculate the time spent on the road for the journey in question 2.1.

Sagot :

GinnyAnsweridn
### Solution

#### Question 2.1: Total Distance Travelled

To calculate the total distance a tourist will travel from Durban to Cape Town via Johannesburg and Bloemfontein, we need the distances between each pair of cities:

1. Distance from Durban to Johannesburg:
- From the distance table: 598 km

2. Distance from Johannesburg to Bloemfontein:
- From the distance table: 417 km

3. Distance from Bloemfontein to Cape Town:
- From the distance table: 998 km

Now, sum these distances to get the total distance travelled:
[tex]\[ \text{Total Distance} = 598 \text{ km} + 417 \text{ km} + 998 \text{ km} = 2013 \text{ km} \][/tex]

Thus, the total distance travelled by the tourist is 2013 km.

#### Question 2.2: Time Spent on the Road

To calculate the time spent on the road, we use the formula for time, which is:
[tex]\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \][/tex]

Given the total distance travelled is 2013 km and the average speed is 100 km/h, we can calculate the time spent on the journey as follows:
[tex]\[ \text{Time} = \frac{2013 \text{ km}}{100 \text{ km/h}} = 20.13 \text{ hours} \][/tex]

Thus, the time spent on the road for the journey is 20.13 hours.
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