Math Problem Statement
Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt, to solve for Brian's time in minutes. (1 hour = 60 minutes)
Solution
We are given the distance formula:
Where:
- is the distance,
- is the rate or speed,
- is the time.
To solve for time (), we can rearrange the formula as follows:
Now, let's substitute the known values. Brian biked 14 miles () at a rate of 14 miles per hour ():
Since we want the time in minutes, and 1 hour is equal to 60 minutes:
Therefore, Brian's biking time is 60 minutes.
Would you like more details or have any questions?
Here are 5 related questions:
- If Brian biked at a speed of 10 miles per hour, how long would it take him to cover 14 miles?
- How would the time change if the distance were doubled but the speed stayed the same?
- What is the formula to convert hours to minutes in such problems?
- If Brian biked for 45 minutes at the same rate, how far would he travel?
- How would you use the distance formula for a journey with varying speeds?
Tip: Always check the units in problems like these to ensure the result is in the desired form (hours, minutes, etc.).
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Math Problem Analysis
Mathematical Concepts
Algebra
Distance-Rate-Time Problems
Unit Conversion
Formulas
d = rt
t = d/r
Theorems
-
Suitable Grade Level
Grades 6-8