Rational Equations Word Problems Worksheet
Solve real-world problems using rational equations, covering concepts like rates, work, and proportions for Grade 10 math students.
Includes
Standards
Topics
Rational Equations Word Problems
Name:
Date:
Score:
Read each word problem carefully and set up a rational equation to solve it. Show all your work and simplify your answers.
1. John can paint a room in 6 hours. Mary can paint the same room in 4 hours. If they work together, how long will it take them to paint the room?
2. A boat travels 30 miles upstream in the same amount of time it travels 50 miles downstream. If the speed of the current is 5 mph, what is the speed of the boat in still water?
3. If 5 apples cost $3.00, then 12 apples would cost $ .
4. A recipe calls for 2 cups of flour for every 3 eggs. If you use 8 eggs, you will need cups of flour.
5. A chemist has 20 liters of a 25% acid solution. How much pure acid should be added to make a 40% acid solution?
5 liters
4 liters
8 liters
3 liters
6. The sum of a number and its reciprocal is 10/3. Find the number.
Related Worksheets
Solving Square Root Equations
This worksheet focuses on solving square root equations, including identifying extraneous solutions, for Grade 10 Algebra students.
Perfect Square Trinomials Worksheet
This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.
Radical Operations Worksheet
Grade 10 Math worksheet covering operations with radical expressions including simplification, addition, subtraction, multiplication, and division.
Rearranging Equations Worksheet
A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.
Zero Product Property Worksheet
Practice applying the Zero Product Property to solve quadratic equations and other polynomial equations.
Sigma Notation Practice
A Grade 10 math worksheet focusing on understanding and applying sigma notation for sums and series.
Intercepts Exploration
Explore and identify x-intercepts and y-intercepts of linear equations and graphs.
Equations with Variables on Both Sides
Practice solving linear equations with variables on both sides, including those with fractions and decimals.