Zandile and Mvelo are at the same rest stop alongside a highway. Zandile started driving along the highway al a constant speed of \( 80 \mathrm{~km} / \mathrm{h} \). An hour later, Mvelo started driving along the same highway in the same direction as Zandile at a constant speed at \( 100 \mathrm{~km} / \mathrm{h} \). How long will it take Mvelo to catch up with Zandile?

To find out how long it will take Mvelo to catch up with Zandile, we first calculate the distance Zandile covers in the hour before Mvelo starts driving. Zandile, driving at \(80 \, \text{km/h}\), covers: \[ \text{Distance}_{Zandile} = \text{Speed} \times \text{Time} = 80 \, \text{km/h} \times 1 \, \text{h} = 80 \, \text{km} \] When Mvelo starts driving, Zandile is already 80 kilometers ahead. From this point, Mvelo is traveling at \(100 \, \text{km/h}\) while Zandile continues at \(80 \, \text{km/h}\). The relative speed at which Mvelo is catching up to Zandile is: \[ \text{Relative Speed} = 100 \, \text{km/h} - 80 \, \text{km/h} = 20 \, \text{km/h} \] To find the time it takes for Mvelo to close the 80 km gap, we use the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{80 \, \text{km}}{20 \, \text{km/h}} = 4 \, \text{hours} \] So, it will take Mvelo 4 hours to catch up with Zandile. Fun fact: if you think of Zandile and Mvelo as racers, that hour head start Zandile had might feel like an advantage, but with a speed boost, Mvelo managed to turn up the heat! Also, consider that in real-life situations, factors like traffic, road conditions, and rest breaks could affect travel times in ways that calculations can't always predict—but in our scenario, the math holds true like clockwork!