In a catch up problem, what method can be used to find when two persons will meet?

In a catch-up problem, the focus is on determining the time it takes for one moving object to catch up to another that is already in motion. To solve this, setting the time equal to each other for both individuals allows for an accurate calculation of when they will meet. This is because both moving persons will be covering their respective distances over the same time duration once the catch-up occurs.

By equating the times, you can derive equations based on their speeds and distances traveled. Typically, one person starts ahead and is moving at a certain speed, while the other is moving faster and will catch up after traveling a certain distance. By using the equation that time equals distance divided by speed for both individuals, you can effectively solve for the unknown time when the two will meet.

In contrast, setting the distance equal to their speeds, calculating average speeds separately, or assigning random values to distances do not appropriately address the relationship between time, distance, and speed necessary for solving a catch-up problem. These methods may lead to incorrect or irrelevant calculations and do not use the fundamental principles of motion effectively.