Question

2 bruce walks \\(\frac{3}{4}\\) mile in \\(\frac{1}{5}\\) hour. what is his speed in miles per hour? show your work.

Explanation:

Step1: Recall speed formula

Speed is calculated by the formula \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Substitute values

Given distance \( d = \frac{3}{4} \) mile and time \( t = \frac{1}{5} \) hour. Substitute into the formula: \( \text{Speed} = \frac{\frac{3}{4}}{\frac{1}{5}} \).

Step3: Divide fractions

Dividing by a fraction is multiplying by its reciprocal: \( \frac{3}{4} \times \frac{5}{1} = \frac{15}{4} = 3.75 \).

Answer:

Bruce's speed is \( \frac{15}{4} \) (or 3.75) miles per hour.