Algebra Motion Problems
Motion problems are based on the formula d = rt where d = distance, r = rate and t = time. When solving motion problems, a sketch is often helpful and a table an be used for organizing information.
Example: John and Philip who live 14 miles apart start at noon to walk toward each other at rates of 3 mph and 4 mph respectively. In how many hours will they meet? Solution: Let x = time walked.
3x + 4x = 14 They will meet in 2 hours.
Example: In still water, Peter’s boat goes 4 times as fast as the current in the river. He takes a 15-mile trip up the river and returns in 4 hours. Find the rate of the current. Solution: Let x = rate of the current.
The rate of the current is 2 mph.
VideoMotion Word ProblemsStudents 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.
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