Question

a mallard duck flies \\(\frac{5}{6}\\) of a mile in \\(\frac{1}{60}\\) of a hour. compute the unit rate. a 25 miles per hour b 30 miles per hour c 50 miles per hour d 60 miles per hour e 45 miles per hour

Explanation:

Step1: Recall unit rate formula

Unit rate (speed) is distance divided by time, so \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Substitute values

Distance is \( \frac{5}{6} \) mile, time is \( \frac{1}{60} \) hour. So \( \text{Speed} = \frac{\frac{5}{6}}{\frac{1}{60}} \).

Step3: Divide fractions

Dividing by a fraction is multiplying by its reciprocal: \( \frac{5}{6} \times 60 = \frac{5 \times 60}{6} \).

Step4: Simplify

\( \frac{300}{6} = 50 \).

Answer:

C. 50 miles per hour