Distance Problem 1 - Uniform Motion rt=d
In this lesson, you'll learn how to solve distance problems using the formula: rate times time equals distance. To illustrate, we'll solve a problem about two cyclists who start at the same corner and ride in opposite directions. One cyclist rides twice as fast as the other. In 3 hours, they are 81 miles apart. By setting up variables and using a chart, we'll find the rate of each cyclist, which is 9 mph and 18 mph. This method can be applied to other distance problems as well.
Solves this word problem using rt=d formula: Two cyclists start at the same corner and ride in opposite directions. One cyclist rides twice as fast as the other. In 3 hours, they are 81 miles apart. Find the rate of each cyclist.
Answer: 9 mph and 18 mph
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- If two cyclists start at the same corner and ride in opposite directions, one cyclist rides twice as fast as the other, and in 3 hours they are 81 miles apart, how do you find the rate of each cyclist?
- 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 you know the times that two cyclists rode, how can you find an expression for their time and distance?
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Staff Review
This lesson goes through a rather involved rate problem in which the strategy used is to make a table and use the table to write and solve an equation to solve the problem. A picture is also a critical part of the problem solving strategy. This problem is very clearly explained and a great help for anyone learning uniform motion problems.
