take if he uses only 3 tractors? \( \qquad \) \( \qquad \) Karabo and John are at the same rest stop alongside a highway. Karabo started driving along the highway at a constant speed of \( 80 \mathrm{~km} / \mathrm{h} \). An hour later, John started driving along the same highway in the same direction as Karabo at the constant speed of \( 100 \mathrm{~km} / \mathrm{h} \). How long will it take John to catch up with Karabo? \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) [1 The End? athematics Assignment Grade 9 Term 12022 Page 6 Please Turn Over

To find out how long it takes John to catch up with Karabo, we first calculate the distance that Karabo travels in the hour before John starts. Since he drives at 80 km/h, in one hour, he covers 80 km. When John starts, Karabo is already 80 km ahead. Now we look at their speeds: John is traveling at 100 km/h, and Karabo at 80 km/h. The relative speed between John and Karabo (the speed at which John closes the distance) is \( 100 - 80 = 20 \) km/h. To catch up with Karabo, John needs to cover the 80 km head start. The time it takes for John to catch up can be found using the formula: \[ \text{Time} = \frac{\text{Distance}}{\text{Relative Speed}} = \frac{80 \text{ km}}{20 \text{ km/h}} = 4 \text{ hours} \] So, John will take 4 hours to catch up with Karabo! 🚗💨 In the world of racing and driving, time and speed calculations play a critical role, especially in motorsport strategy. Teams analyze various speed scenarios and timing to optimize their chances for victory. By knowing how to compute when one vehicle will catch another, you can also devise strategies in racing games! For those who enjoy delving deeper into speed and distance problem-solving, consider checking out physics books that cover motion and kinematics. Engaging resources include practical examples from everyday life, such as road trips and vehicle dynamics, making those concepts relatable and fun to understand!