Distance Problem 6 - Uniform Motion rt=d
In this lesson, we learn how to solve distance problems using the rt=d formula. We are given a word problem about a pilot flying from one city to another city and then back again, with different speeds for each direction. By setting up equations for rate, time, and distance, we're able to solve for the distance between the two cities, which is 300 miles. It's important to carefully read the question being asked and make sure to answer it correctly. With practice, we can become skilled at solving these types of problems.
Solves this word problem using rt=d formula: A pilot flew from one city to another city averaging 150 mph. Later, it flew back to the first city averaging 100 mph. The total flying time was 5 hours. How far apart are the cities?
Answer: 300 miles
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 pilot flew from one city to another averaging 150 mph, then he flew back to the first city averaging 100 mph, and the total flying time was 5 hours, how far apart are the cities?
- If you know the rates of two trips, how do you write an expression for the trip times and distances?
-
Staff Review
This final installment of uniform motion problems. Again, a picture and a chart are used to write and solve an equation to find the solution to this problem. Once you do several of these problems, you will see that the process is very similar even though the wording of the problems, what you are given, and what you are trying to find is different in each one.
