Final answer:
The equation for this scenario is 200 = r × time, and the time it takes to travel 200 miles at a rate of r miles per hour is given by the equation time = 200/r.
Step-by-step explanation:
To create an equation for this scenario, we need to use the formula:
distance = rate × time
In this case, the distance is 200 miles and the rate is r miles per hour. So the equation becomes:
200 = r × time
To solve for time, we divide both sides of the equation by r:
time = 200/r
This equation can be used to find out how long it will take for the plane to travel 200 miles at any given rate r. Whether for planes, vehicles, or other modes of travel, this formula serves as a fundamental tool in predicting time taken for a given distance at differing speeds, aiding in logistical planning and understanding travel constraints.