# Algebra 28 - Solving Motion Problems with Linear Equations | Summary and Q&A

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April 13, 2014
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MyWhyU
Algebra 28 - Solving Motion Problems with Linear Equations

## TL;DR

Linear equations can be used to solve real-world problems involving speed, time, and distance.

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### Q: How can linear equations be used to solve problems involving speed, time, and distance?

Linear equations can be created using the formula "speed times time equals distance" and solved to find the unknown variable (speed, time, or distance). By substituting the known values, the unknown value can be determined.

### Q: Can linear equations be used to solve problems involving multiple vehicles with different speeds?

Yes, by representing the speeds of the vehicles with variables, equations can be formed with the distances traveled by each vehicle and the total distance. Solving these equations will yield the speeds of the vehicles.

### Q: How can linear equations help determine the time spent traveling at different speeds?

By assigning variables to represent the times spent at different speeds, equations can be set up using the formula "distance equals speed times time." Solving these equations will provide the values for the time spent at each speed.

### Q: What is the relationship between speed, time, and distance in linear equations?

The relationship is represented by the formula "speed times time equals distance." This equation can be rearranged to solve for any of the three variables if the values for the others are known.

## Summary & Key Takeaways

• Linear equations can be used to solve problems involving time, distance, and speed.

• Speed is defined as the change in distance over the change in time.

• By using the formula "speed times time equals distance," any of the three quantities can be calculated if the values of the other two are known.