Math Problem Statement

Tia is traveling from city A to city B. The two cities are 320 miles apart. She has traveled 260 miles at a steady speed for 4 hours. What is her average speed in miles per hour?

Solution

The problem in the image provides the following information:

  • Tia has traveled 260 miles in 4 hours at a steady speed.
  • You are asked to find her average speed in miles per hour.

To calculate the average speed, you can use the formula:

Average Speed=DistanceTime\text{Average Speed} = \frac{\text{Distance}}{\text{Time}}

Substituting the given values:

Average Speed=260 miles4 hours=65 miles per hour\text{Average Speed} = \frac{260 \text{ miles}}{4 \text{ hours}} = 65 \text{ miles per hour}

Thus, Tia's average speed is 65 miles per hour.

Would you like any further explanation or details?


Here are five related questions you might find helpful:

  1. How would the speed change if the distance were increased to 300 miles but the time stayed the same?
  2. What is the formula for calculating distance if speed and time are known?
  3. How long would it take Tia to travel the remaining 60 miles to reach City B?
  4. If Tia increased her speed to 70 miles per hour, how long would it take to cover 260 miles?
  5. What are the units for speed, and how can they be converted (e.g., miles per hour to kilometers per hour)?

Tip: Always make sure to double-check the units in problems involving speed, distance, and time to ensure consistency!

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Math Problem Analysis

Mathematical Concepts

Distance, Speed, and Time Relationships

Formulas

Average Speed = Distance / Time

Theorems

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Suitable Grade Level

Grades 6-8