Math Problem Statement
Solution
The problem asks to find Raul's speed in miles per hour, given that he biked 8 miles in of an hour.
The formula for speed is:
In this case, the distance is 8 miles, and the time is of an hour. The unit rate is found by dividing the distance by the time:
Thus, Raul's speed is 10 miles per hour.
Would you like more details on how this was calculated or have any questions?
Here are 5 related questions to expand your understanding:
- If Raul biked 12 miles in hour, what would his speed be?
- How would the speed change if the time increased to 1 hour but the distance stayed the same?
- What is the meaning of a unit rate in the context of this problem?
- Can the unit rate ever be a decimal, and how would you convert it from a fraction?
- How would Raul's speed be affected if the distance were halved but the time remained the same?
Tip: When dividing by a fraction, multiply by its reciprocal to simplify the calculation.
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Math Problem Analysis
Mathematical Concepts
Ratios
Fractions
Unit Rate
Formulas
Speed = Distance / Time
Theorems
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Suitable Grade Level
Grade 6-7
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