Distance Problem 5 - Uniform Motion rt=d

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Taught by YourMathGal
  • Currently 4.0/5 Stars.
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Lesson Summary:

This lesson uses the rt=d formula to solve a word problem involving a car and a bus traveling in the same direction. The car is twice as fast as the bus and after 2 hours, it is 68 miles ahead of the bus. The lesson breaks down the problem step-by-step using a chart and visual aids to explain the equation. The answer is revealed at the end of the lesson: the bus speed is 34 mph and the car speed is 68 mph.

Lesson Description:

Solves this word problem using rt=d formula: A car and a bus set out at 2 pm from the same spot, headed in the same direction. The average speed of the car is twice the average speed of the bus. After 2 hours, the car is 68 miles ahead of the bus. Find the rate of the bus and the car.
Answer: Bus speed: 34 mph; Car speed: 68 mph

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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 a car and a bus set out at 2pm from the same spot headed in the same direction, the average speed of the car is twice as fast as the bus, and after 2 hours, the car is 68 miles ahead of the bus, how do you find the rate of the bus and the car?
  • If you know the time of the bus and car, how can you write an expression for their rate and distance?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video shows another good thinking problem. It is another uniform motion word problem in which a sketch and a chart are critical to forming an equation and solving the problem. This is yet another scenario you might encounter in your class.