Distance Problem 4 - Uniform Motion rt=d

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
2281 views | 1 rating
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, the rt=d formula is used to solve a word problem involving uniform motion. The problem involves Andy and Beth running towards each other from opposite ends of an 18-mile road. Andy runs at 7 mph while Beth runs at 5 mph. The lesson walks through setting up a chart and solving for the time it takes for them to meet, which is 1.5 hours. The lesson emphasizes the importance of going back to the original question and answering it correctly.

Lesson Description:

Solves this word problem using rt=d formula: Andy and Beth are at opposite ends of a 18-mile country road with plans to leave at the same time running toward each other to meet. Andy runs 7 mph while Beth runs 5 mph. How long after they begin will they meet?
Answer: 1.5 hours

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Questions answered by this video:
  • How do you solve uniform motion problems?
  • How do you solve equations using the formula rate * time = distance?
  • How can you draw and use pictures to solve word problems using the formula d = rt?
  • How can you come up with an equation to solve a uniform motion problem?
  • How can you use a chart to solve a uniform motion problem?
  • How can you check your solutions to a uniform motion problem?
  • If two people are at opposite ends of an 18-mile road, they leave at the same time running toward each other, and one person runs 7 mph and the other runs 5 mph, how long after they begin will they meet?
  • If you know the rates that two people are running, how do you write an expression for the time and distance they ran?
  • Staff Review

    • Currently 4.0/5 Stars.
    This uniform motion problem is solved the same way as the rest -- making a sketch of the situation, creating a chart that leads to solving an equation. This problem goes much more quickly and easily than the rest of the problems, however.