What is the distance between Cape Town and Hondeklipbaai in metres?

• Cape Town to Malmesbury: $60 \text{ km}$
• Malmesbury to Piketberg: $50 \text{ km}$
• Piketberg to Clanwilliam: $60 \text{ km}$
• Clanwilliam to Citrusdal: $30 \text{ km}$
• Citrusdal to Vanrhynsdorp: $80 \text{ km}$
• Vanrhynsdorp to Garies: $120 \text{ km}$
• Garies to Kamieskroon: $60 \text{ km}$

The note states: "The bypass to Hondeklipbaai is in the middle of Garies and Kamieskroon."
The distance between Garies and Kamieskroon is $60 \text{ km}$.
So, the turn-off is halfway:

The actual distance between Cape Town and Hondeklipbaai is $\boxed{\text{430000 m}}$.

3.2.4 Koketso travelled from Malmesbury to Springbok. Prove if he was within the accepted speed limit if it took him 4 hours and 30 minutes to reach his destination.

• Malmesbury to Piketberg: $50 \text{ km}$
• Piketberg to Clanwilliam: $60 \text{ km}$
• Clanwilliam to Citrusdal: $30 \text{ km}$
• Citrusdal to Vanrhynsdorp: $80 \text{ km}$
• Vanrhynsdorp to Garies: $120 \text{ km}$
• Garies to Kamieskroon: $60 \text{ km}$
• Kamieskroon to Springbok: $70 \text{ km}$

Time taken $= 4 \text{ hours and } 30 \text{ minutes}$

Accepted speed limit $= 120 \text{ km/hr}$
Koketso's speed $\approx 106.67 \text{ km/hr}$
Since $106.67 \text{ km/hr} < 120 \text{ km/hr}$, Koketso was within the accepted speed limit.
$\boxed{\text{Koketso was within the accepted speed limit.}}$

3.2.5 Calculate the probability (to two decimal places) of choosing an even-numbered road from the regional roads.

The regional roads are those branching off the main N7 National Road:

• R303 (to Ceres)
• R27 (to Calvinia)
• R364 (to Lamberts Bay)
• R45 (to Vredenburg)
• R307 (to Darling)
• R311 (to Moorreesburg) Total number of regional roads $= 6$.

• R303 (odd)
• R27 (odd)
• R364 (even)
• R45 (odd)
• R307 (odd)
• R311 (odd) Number of even-numbered regional roads $= 1$ (R364).

The probability of choosing an even-numbered road from the regional roads is $\boxed{\text{0.17}}$.