When setting up a distance-rate-time equation for two delivery vans that leave a central distribution hub at the same time and travel in opposite directions, how do you relate their individual travel distances to the total separation distance?

Two field technicians leave company headquarters at the same time, one driving North at 72 mph and the other South at 76 mph. To find the travel time $t$ required for them to be 330 miles apart, arrange the following problem-solving steps in the correct logical order.

A logistics coordinator is tracking two delivery drivers who leave a central warehouse at the same time and travel in opposite directions. Driver A travels north at 72 mph, while Driver B travels south at 76 mph. The coordinator needs to determine the travel time ($t$) required for the drivers to be 330 miles apart. Match each algebraic component to its specific role in this logistics scenario.

A logistics coordinator is modeling the travel of two field service vehicles that leave a central hub at the same time and head in opposite directions. To find the time $t$ it takes for them to be a total distance $D$ apart at speeds $r_1$ and $r_2$, the coordinator should use the equation $r_1 t + r_2 t = D$.

Interpreting Distance Expressions in Motion Problems

A logistics coordinator is tracking two delivery vans that depart from the same central warehouse at the same time and travel in opposite directions. To represent the total separation distance between the two vans after $t$ hours, the coordinator must calculate the ____ of the individual distances traveled by each van.

Modeling Opposite-Direction Motion in Logistics