Questions: Ezra jogged 5 kilometers in 5/12 of an hour. How fast was he jogging?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
kilometers per hour
Transcript text: Ezra jogged 5 kilometers in $\frac{5}{12}$ of an hour. How fast was he jogging?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
$\square$ kilometers per hour
Solution
Solution Steps
Step 1: Understand the problem
Ezra jogged 5 kilometers in \(\frac{5}{12}\) of an hour. We need to find his speed in kilometers per hour.
Step 2: Use the formula for speed
Speed is calculated using the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
Substitute the given values:
\[
\text{Speed} = \frac{5}{\frac{5}{12}}
\]
Step 3: Simplify the expression
To divide by a fraction, multiply by its reciprocal:
\[
\text{Speed} = 5 \times \frac{12}{5}
\]
Simplify:
\[
\text{Speed} = 12
\]