Math Problem Statement
Solution
The problem is asking which calculation is most reasonable for Lane to use in order to convert his running speed into miles per hour, given that:
- Lane takes 180 steps per minute.
- Each step is 3.25 feet long.
The task is to determine the correct calculation that converts steps per minute into miles per hour.
Steps for Conversion:
- Convert steps to feet: Multiply 180 steps by 3.25 feet per step.
- Convert feet to miles: Since 1 mile equals 5,280 feet, divide the result by 5,280 feet to get miles.
- Convert minutes to hours: Multiply the result by 60 to convert minutes to hours.
Correct Formula:
The second option in the image looks correct, which is:
This calculation correctly multiplies to get miles per hour, using the appropriate unit conversions.
Would you like more details, or do you have any questions about this process?
Here are 5 related questions to expand your understanding:
- How can you verify the result of the calculation in miles per hour?
- What other units could Lane use to express his speed?
- How would the calculation change if Lane took 200 steps per minute instead of 180?
- How could you calculate Lane's time to run a specific distance, such as 5 miles?
- What other factors, such as terrain or wind, might affect Lane's running speed?
Tip: When performing unit conversions, always make sure units cancel out properly, leaving you with the desired final units!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Unit Conversion
Proportions
Multiplication
Formulas
Steps per minute × Feet per step = Feet per minute
Feet per minute ÷ 5280 (feet in a mile) = Miles per minute
Miles per minute × 60 (minutes in an hour) = Miles per hour
Theorems
Unit conversion principles
Suitable Grade Level
Grades 6-8