# Distance Problem 2 - Uniform Motion rt=d

Taught by YourMathGal
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Meets NCTM Standards:
Lesson Summary:

In this lesson, the rt=d formula is used to solve a word problem involving uniform motion. A jogger starts running at 6 miles per hour, and half an hour later, another runner leaves the same spot at 7 miles per hour. The problem is to determine how long it will take for the runner to catch up to the jogger. By defining variables and setting up an equation, the solution is found to be three hours.

Lesson Description:

Solves this word problem using rt=d formula: A jogger started running at an average speed of 6 mph. Half an hour later, another runner started running after him starting from the same place at an average speed of 7 mph. How long will it take for the runner to catch up to the jogger?

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

• 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 jogger started running an average speed of 6 miles per hour, half an hour later, another runner started running after him from the same place at an average speed of 7 mph, how long will it take for the runner to catch up to the jogger?
• If you know the rates of two runners, how do you find an expression for their times and distances run?
• #### Staff Review

• Currently 4.0/5 Stars.
This is another tough uniform rate word problem in which a chart and a drawing are used to write an equation in order to find out the time it takes a runner to catch up to a jogger. This is a great tutorial on a tough concept.
• #### Neksrov

• Currently 4.0/5 Stars.
I need to drill the uniform motion concept into my brain, anyone have a hammer to spare?