Final answer:
To maintain the same speed as car A, car B must travel 2.5 meters and car C must travel 7.5 meters.
Step-by-step explanation:
The question asks to determine the distances cars B and C must travel in order for all cars to go the same speed. Since speed is distance divided by time, we can calculate the speed of car A and use that speed to find the distances for cars B and C.
Speed of car A = 5 meters / 10 seconds = 0.5 meters/second. To maintain the same speed, car B travelling for 5 seconds needs to cover 0.5 meters/second * 5 seconds = 2.5 meters. Car C travelling for 15 seconds needs to cover 0.5 meters/second * 15 seconds = 7.5 meters.
Therefore, Car B must travel 2.5 meters and Car C must travel 7.5 meters for all cars to have the same speed.