Proportional Relationships (Speed) 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.

How to solve proportional relationships word problems?

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:

1. Understand the Relationship The basic formula connecting distance (d), speed (s), and time (t) is:
   Speed = Distance/Time
   or
   𝑠 = 𝑑/𝑡
   If you know any two of the three quantities, you can solve for the third.
2. Identify What You’re 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.
   
3. 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: Distance₁/Time₁ = Distance₂/Time₂
   This can also be rearranged to solve for any missing variable.
4. Solve the Proportion
   Cross-multiply and solve the equation for the unknown variable.
   
5. 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”.

• Proportional Relationships Word Problems

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