Question

michael runs a distance of $5\frac{1}{4}$ miles in $45\frac{3}{4}$ minutes during a race. at this rate, what is michael’s average speed in miles per hour? use the on - screen keyboard to enter the answer in the response box below.

Explanation:

Step1: Convert mixed numbers to improper fractions

Distance: $5\frac{1}{4} = \frac{21}{4}$ miles; Time: $45\frac{3}{4} = \frac{183}{4}$ minutes

Step2: Convert time to hours

$\frac{183}{4} \div 60 = \frac{183}{4} \times \frac{1}{60} = \frac{61}{80}$ hours

Step3: Calculate speed (distance/time)

$\frac{21}{4} \div \frac{61}{80} = \frac{21}{4} \times \frac{80}{61} = \frac{420}{61} \approx 6.89$

Answer:

6.89 (or exact value $\frac{420}{61}$)