Related Topics:

More Math Worksheets

More Printable Math Worksheets

More Grade 7 Math Lessons

Grade 8 Math Worksheets

Printable “Rate & Proportion” worksheets:

Rates & Unit Rates

Proportional Relationships in Tables

Proportional Relationships in Graphs

Proportional Relationships in Equations

Proportional Relationships (Speed)

Rate Word Problems

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to work with proportional relationships that involve average speed and constant speed in order to write a linear equation in two variables. Use proportional relationships in two variables to answer questions about distance and time.

Solving problems involving proportional relationships, especially with speed, usually requires understanding the relationship between distance, speed, and time. Here’s a step-by-step guide to solve such problems:

- Understand the Relationship
The basic formula connecting distance (d), speed (s), and time (t) is:

Speed = Distance/Time

or

๐ = ๐/๐ก

If you know any two of the three quantities, you can solve for the third. - Identify What Youโre Given

Determine which of the three variables (distance, speed, time) are provided in the problem.

If the problem involves proportionality, recognize that if one variable changes, the other variables will change in a specific way, maintaining the relationship. - Set Up the Proportion

If the problem states that two scenarios are proportional (e.g., the speed is constant), you can set up a proportion: Distance_{1}/Time_{1}= Distance_{2}/Time_{2}

This can also be rearranged to solve for any missing variable. - Solve the Proportion

Cross-multiply and solve the equation for the unknown variable. - Check and Interpret the Solution

Verify that the solution makes sense in the context of the problem.

Interpret the result, ensuring it answers the question asked.

Tips:

Constant Speed: If the speed remains constant, the relationship between distance and time is directly proportional.

Units: Always ensure the units are consistent (e.g., miles per hour, kilometers per hour).

Have a look at this video if you need to review how to solve “proportional relationships word problems”.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Solve proportional relationships word problems Worksheets**.

**Printable**

(Answers on the second page.)

Solve proportional relationships word problems Worksheet #1

Solve proportional relationships word problems Worksheet #2

Solve proportional relationships word problems Worksheet #3

Solve proportional relationships word problems Worksheet #4

Solve proportional relationships word problems Worksheet #5

Solve proportional relationships word problems Worksheet #6

Solve proportional relationships word problems Worksheet #7

Solve proportional relationships word problems

More Printable Worksheets

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.