Here are the essential concepts you must grasp in order to answer the question correctly.
Average Speed
Average speed is calculated as the total distance traveled divided by the total time taken. In this problem, Elwyn's average speeds for the two legs of his journey are given, which allows us to set up equations based on the distances and times for each leg of the trip.
Distance Formula
The distance formula relates distance, speed, and time through the equation: Distance = Speed × Time. This relationship is crucial for solving the problem, as we can express the distances for both trips in terms of speed and time, allowing us to find the total distance traveled.
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System of Equations
A system of equations consists of two or more equations that share variables. In this scenario, we can create a system based on the distances and times for both trips, which can be solved simultaneously to find the unknown distance between Denver and Minneapolis.
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