Rational Equations Word Problems Worksheet
Solve real-world problems using rational equations, covering concepts like rates, work, and proportions for Grade 10 math students.
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Rational Equations Word Problems
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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.