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Rational Equations Word Problems Lesson
- Demonstrate an understanding of how to solve a word problem
- Demonstrate an understanding of how to solve an equation with rational expressions
- Learn how to solve word problems that involve rational equations
How to Solve a Word Problem with Rational Equations
Six-step method for solving word problems with rational expressions.
- Read the problem carefully and determine what you are asked to find
- Assign a variable to represent the unknown
- Write out an equation that describes the given situation
- Solve the equation
- State the answer using a nice clear sentence
- Check the result by reading back through the problem
Solving a Proportion Problem
Motion word problems with rational expressions, rate of work word problems, skills check:.
Solve each word problem.
Working alone, it takes Steve 11 hours to complete a restoration project on a truck. Jacob can perform the same task in 110 hours. How long would it take if they worked together?
Please choose the best answer.
Jamie’s hot tub has an outlet pipe that can empty the hot tub in 6 minutes. Additionally, her hot tub has an inlet pipe that can fill the hot tub in 3 minutes. If both pipes were turned on, how long would it take to fill a completely empty hot tub?
On her drive from Port Smith to Maryland, Stephanie averaged 51 miles per hour. If she had been able to average 60 miles per hour, she would have reached Maryland 3 hours earlier. What is the driving distance between Port Smith and Maryland?
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Worksheet on Word Problems on Rational Numbers
Practice the questions given in the worksheet on word problems on rational numbers. The questions are related to various types of word problems on four fundamental operations on rational numbers.
1. From a rope 11 m long, two pieces of lengths 13/5 m and 33/10 m are cut off. What is the length of the remaining rope? 2. A drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum. 3. A basket contains three types of fruits weighing 58/3 kg in all. If 73/9 kg of these be apples, 19/6 kg be oranges and the rest pears. What is the weight of the pears in the basket? 4. On one day a rickshaw puller earned $80. Out of his earnings he spent $68/5 on tea and snacks, $51/2 on food and $22/5 on repairs of the rickshaw. How much did he save on that day?
5. Find the cost of 17/5 meters of cloth at $147/4 per meter. 6. A car is moving at an average speed of 202/5 km/hr. How much distance will it cover in 15/2 hours? 7. Find the area of a rectangular park which is 183/5 m long and 50/3 m broad. 8. Find the area of a square plot of land whose each side measures 17/2 meters. 9. One liter of petrol costs $187/4. What is the cost of 35 liters of petrol? 10. An airplane covers 1020 km in an hour. How much distance will it cover in 25/6 hours? 11. The cost of 7/2 meters of cloth is $231/4. What is the cost of one meter of cloth? 12. A cord of length 143/2 m has been cut into 26 pieces of equal length. What is the length of each piece? 13. The area of a room is 261/4 m \(^{2}\) . If its breadth is 87/16 meters, what is its length? 14. The product of two rational numbers is 48/5. If one of the rational number is 66/7, find the other rational number. 15. Rita had $300. She spent 1/3 of her money on notebooks and 1/4 of the remainder on stationery items. How much money is left with her? 16. Adrian earns $16000 per month. He spends 1/4 of his income on food; 3/10 of the remainder on house rent and 5/21 of the remainder on the education of children. How much money is still left with him?
Answers for the worksheet on word problems on rational numbers are given below to check the exact answers of the above rational problems.
2. 317/12 kg
3. 145/18 kg
5. $2499/20
7. 610 m \(^{2}\)
8. 289/4 m \(^{2}\)
10. 4250 km
● Rational Numbers - Worksheets
Worksheet on Rational Numbers
Worksheet on Equivalent Rational Numbers
Worksheet on Lowest form of a Rational Number
Worksheet on Standard form of a Rational Number
Worksheet on Equality of Rational Numbers
Worksheet on Comparison of Rational Numbers
Worksheet on Representation of Rational Number on a Number Line
Worksheet on Adding Rational Numbers
Worksheet on Properties of Addition of Rational Numbers
Worksheet on Subtracting Rational Numbers
Worksheet on Addition and Subtraction of Rational Number
Worksheet on Rational Expressions Involving Sum and Difference
Worksheet on Multiplication of Rational Number
Worksheet on Properties of Multiplication of Rational Numbers
Worksheet on Division of Rational Numbers
Worksheet on Properties of Division of Rational Numbers
Worksheet on Finding Rational Numbers between Two Rational Numbers
Worksheet on Operations on Rational Expressions
Objective Questions on Rational Numbers
Math Homework Sheets 8th Grade Math Practice From Worksheet on Word Problems on Rational Numbers to HOME PAGE
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● Rational Numbers
Introduction of Rational Numbers
What is Rational Numbers?
Is Every Rational Number a Natural Number?
Is Zero a Rational Number?
Is Every Rational Number an Integer?
Is Every Rational Number a Fraction?
Positive Rational Number
Negative Rational Number
Equivalent Rational Numbers
Equivalent form of Rational Numbers
Rational Number in Different Forms
Properties of Rational Numbers
Lowest form of a Rational Number
Standard form of a Rational Number
Equality of Rational Numbers using Standard Form
Equality of Rational Numbers with Common Denominator
Equality of Rational Numbers using Cross Multiplication
Comparison of Rational Numbers
Rational Numbers in Ascending Order
Rational Numbers in Descending Order
Representation of Rational Numbers on the Number Line
Rational Numbers on the Number Line
Addition of Rational Number with Same Denominator
Addition of Rational Number with Different Denominator
Addition of Rational Numbers
Properties of Addition of Rational Numbers
Subtraction of Rational Number with Same Denominator
Subtraction of Rational Number with Different Denominator
Subtraction of Rational Numbers
Properties of Subtraction of Rational Numbers
Rational Expressions Involving Addition and Subtraction
Simplify Rational Expressions Involving the Sum or Difference
Multiplication of Rational Numbers
Product of Rational Numbers
Properties of Multiplication of Rational Numbers
Rational Expressions Involving Addition, Subtraction and Multiplication
Reciprocal of a Rational Number
Division of Rational Numbers
Rational Expressions Involving Division
Properties of Division of Rational Numbers
Rational Numbers between Two Rational Numbers
To Find Rational Numbers
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Math 51. Worksheet. Application Problems with Rational Expressions. The applications will involve situations with work rate, variations, water current and
MARC Worksheets: Math 51 Beginning Algebra - Course Topics ... and Evaluating Rational Expressions · Application Problems with Rational Expressions
Math 51WorksheetApplication Problems with Rational ExpressionsThe applications will involve situations with work rate, variations, water current and speed
Rational Expression Worksheet #2: Simplifying ... Add or subtract these rational expressions. ... y+51 +3 y²+8x+15. 34+15. (y+3Xy+5).
Step by Step tutorial explains how to solve word problems with rational expressions. Ace your Math Exam!
Since rational expressions are quotients of quantities, rational expressions are ratios also. A proportion is a mathematical statement that two ratios are equal
rational-expressions-applications-word-problems-pdf ... 10 Math 51 Application problems with rational ... Rational Expressions Worksheet -.
How to solve word problems involving rational equations, such as work problems.
Write and solve an equation to find how long your friend would take to paint the room when working alone. 34. PROBLEM SOLVING You can clean a park in 2 hours.
If its breadth is 87/16 meters, what is its length? 14. The product of two rational numbers is 48/5. If one of the rational number is 66/7, find the other