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Year 10 Maths
20. Algebraic Fractions
20.6 Applications of equations with algebraic fractions
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
