Mastering Distance, Rate, and Time Word Problems

Miacademy & MiaPrep Learning Channel

This instructional math video provides a structured approach to solving distance, rate, and time word problems using rational equations. The narrator, Justin, introduces the fundamental relationship between these variables ($t = d/r$) and outlines a clear four-step process for tackling these often-confusing problems: filling in a data table, setting up the appropriate equation, solving for the unknown, and interpreting the answer in the context of the original question. The video explores key algebraic themes including modeling real-world scenarios, manipulating rational expressions, and solving both linear and quadratic equations that arise from these models. It specifically addresses common scenarios like traveling "with the wind" versus "against the wind," teaching students how to mathematically represent these external forces by adding to or subtracting from a base rate. For educators, this video is an excellent resource for Algebra 1 or Algebra 2 classrooms. It scaffolds complex word problems into manageable visual components, helping students organize their thinking. The step-by-step walkthroughs of two distinct examples—one resulting in a linear equation solved via cross-multiplication and another resulting in a quadratic solved via the LCM method—provide a comprehensive model for students to follow in their own practice.