Question

1. mats walked three - quarters of a mile in fifteen minutes. what was his approximate speed in miles per hour?

proportion with units
__ = __
work + solution

Explanation:

Step1: Identify the given values

Distance \( d = \frac{3}{4} \) mile, Time \( t = 15 \) minutes. We need to find speed in miles per hour. First, convert time to hours. Since 1 hour = 60 minutes, 15 minutes \( = \frac{15}{60} = \frac{1}{4} \) hours.

Step2: Recall the speed formula

Speed \( s = \frac{d}{t} \). Substitute \( d = \frac{3}{4} \) mile and \( t = \frac{1}{4} \) hour. So \( s = \frac{\frac{3}{4}}{\frac{1}{4}} \).

Step3: Simplify the division

Dividing by a fraction is multiplying by its reciprocal: \( \frac{3}{4} \times \frac{4}{1} = 3 \) miles per hour.

Answer:

3 miles per hour