Math Problem Statement
Sound can travel incredibly quickly: 1 mile in about 1/12 of a minute. Based on that, what is the approximate speed of sound? Simplify your answer and write it as a proper fraction, mixed number, or whole number. miles per minute
Solution
The speed of sound can be calculated as follows:
Since sound travels 1 mile in of a minute, we want to find the distance traveled in 1 full minute.
Step-by-Step Calculation
- Let represent the speed of sound in miles per minute.
- Since 1 mile is traveled in minute, we can write:
- To simplify, divide 1 by :
Answer
The speed of sound is approximately 12 miles per minute.
Would you like further details on this solution, or have any questions?
Here are 5 related questions to expand on this concept:
- How would the speed of sound in miles per hour be calculated from this rate?
- If sound traveled 15 miles in 1.25 minutes, what would be its speed in miles per minute?
- How would the speed of sound vary at different altitudes or temperatures?
- Can we convert this speed into meters per second, using 1 mile ≈ 1,609 meters?
- If a sound wave takes 2 minutes to travel 24 miles, what would be its speed?
Tip: Remember that dividing by a fraction is the same as multiplying by its reciprocal.
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Math Problem Analysis
Mathematical Concepts
Algebra
Unit Conversion
Fractions
Rates
Formulas
Speed = Distance / Time
Dividing by a fraction: a ÷ (b/c) = a × (c/b)
Theorems
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Suitable Grade Level
Grades 5-7