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
Solution
Given that sound travels 1 mile in of a minute, we need to find the speed of sound in miles per minute and then convert it to miles per hour.
Step-by-Step Solution
-
Find the speed in miles per minute:
If sound travels 1 mile in of a minute, we can find the speed in miles per minute by taking the reciprocal of :
-
Convert the speed to miles per hour:
There are 60 minutes in an hour, so to find the speed in miles per hour, we multiply the speed in miles per minute by 60:
Simplified Answer
The approximate speed of sound is miles per hour.
Would you like more details or have any questions?
Here are 5 related questions:
- How does the speed of sound change with temperature?
- What are the typical speeds of sound in different media like water and steel?
- How is the speed of sound measured in scientific experiments?
- What is the speed of sound in kilometers per hour?
- How does altitude affect the speed of sound?
Tip: The speed of sound varies with the medium it travels through; it is faster in solids and liquids compared to gases.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Proportions
Speed Calculation
Unit Conversion
Formulas
Speed = Distance / Time
Speed in miles per minute = 1 / (1/12) = 12 miles per minute
Speed in miles per hour = Speed in miles per minute * 60
Theorems
-
Suitable Grade Level
Grades 6-8