To find Jesse's speed in miles per hour, we can use the formula for speed, which is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Jesse runs a distance of \( 2 \frac{3}{4} \) miles, which can be converted to an improper fraction:
\[ 2 \frac{3}{4} = \frac{11}{4} \text{ miles} \]
The time taken is \( \frac{1}{2} \) hour.
Now we can substitute the values into the speed formula:
\[ \text{Speed} = \frac{\frac{11}{4} \text{ miles}}{\frac{1}{2} \text{ hour}} \]
To divide by a fraction, we multiply by its reciprocal:
\[ \text{Speed} = \frac{11}{4} \times \frac{2}{1} = \frac{11 \times 2}{4 \times 1} = \frac{22}{4} = \frac{11}{2} \text{ miles per hour} \]
Now converting \( \frac{11}{2} \) into a decimal gives:
\[ \frac{11}{2} = 5.5 \]
Thus, Jesse's speed is \( \mathbf{5.5} \) miles per hour.
1 answer