In a field service scenario, a supervisor leaves the regional hub heading to a job site. A technician leaves the same hub 15 minutes later to catch up with the supervisor. If $s$ represents the supervisor's travel time in hours and $t$ represents the technician's travel time in hours, which equation correctly models the relationship between their travel times?

In a scenario where two employees are driving to a conference and Taylor leaves ${}15$ minutes (${}0.25$ hours) later than Alex, if $A$ represents Alex's travel time in hours and $T$ represents Taylor's travel time in hours, the relationship between their travel times is correctly modeled by the equation $T = A + 0.25$.

An IT specialist leaves the main office traveling at 36 mph. A manager leaves the same office 15 minutes later to catch up with the specialist, traveling at 42 mph. Arrange the following problem-solving steps in the correct order to model and solve this uniform motion scenario.

A field service technician leaves a regional office traveling at 36 mph. A supervisor leaves 15 minutes later, following the same route at 42 mph to catch the technician. Match each mathematical component to its correct logical role in setting up the system of equations.

Mathematical Modeling of Catch-Up Motion