In these lessons, we will learn about rate, time, distance word problems and how to solve “motion” word problems.
The following diagram shows how to solve Rate-Time-Distance Problems. Scroll down the page for more examples and solutions on how to solve Rate-Time-Distance Problems or Motion Problems.
Students learn to solve introductory “motion” word problems - for example, cars traveling in opposite directions, bikers traveling toward each other, or one plane overtaking another. Students should first draw a diagram to represent the relationship between the distances involved in the problem, then set up a chart based on the formula rate times time = distance. The chart is then used to set up the equation.
Example: Two cars leave from the same place at the same time and travel in opposite directions. One car travels at 55 mph and the other at 75 mph. After how many hours will they be 520 miles apart?
Algebra Word Problem: Distance Rate and Time
Appropriate for a student in Algebra 1 or Algebra 2
Example: Two private jets start from Chicago and travel in opposite directions. The speed of the first jet is ten less than two times the speed of the second jet. In 3 hours they are 105 miles apart. Find the speed of each jet.
Algebra & Rate, Time, Distance Problems
Distance, Rate, Time Word Problems
An object is in uniform motion when it moves without changing its speed, or rate. The examples illustrate three types of problems involving uniform motion. Each is solved by using a chart, a sketch, and the distance formula.
Julio left school and drove toward the recycling plant at an average speed of 30 km/h. Aliyah left four hours later and drove in the opposite direction with an average speed of 50 km/h. Find the number of hours Aliyah needs to drive before they are 280 km apart.
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