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Chapter 12.6
Applications of rational equations
What You'll Learn
Set up rational equations from word problems involving distance, speed, and time
Translate real-world work rate scenarios into equations with rational expressions
Solve rational equations by finding common denominators and cross-multiplying
Verify solutions by checking if answers make sense in the original context
Apply the relationship between distance, speed, and time (d = st) to motion problems
What You'll Practice
1
Distance-speed-time problems with trains, boats, and airplanes
2
Work rate problems combining multiple workers with different speeds
3
Area and dimension problems with altered rectangular shapes
4
Consecutive number problems involving reciprocals
Why This Matters
Rational equations help you solve real-world problems involving rates, travel, and work efficiency. Whether you're calculating trip times, project completion, or comparing speeds, these skills apply directly to planning, engineering, and everyday decision-making.
This Unit Includes
7 Video lessons
Practice exercises
Skills
Rational Equations
Word Problems
Distance-Speed-Time
Work Rate
LCD
Cross-Multiplication
Quadratic Equations
Problem-Solving
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