Question

jeremy swims at a rate of \\(\frac{1}{3}\\) mile every \\(\frac{1}{6}\\) hour. at this rate, how many miles will jeremy swim in 1 hour?
options: \\(\frac{1}{2}\\), 18, \\(\frac{1}{18}\\), 2

Explanation:

Step1: Find hourly rate formula

To find distance per hour, divide distance by time, then scale to 1 hour:
$$\text{Hourly distance} = \frac{\text{Distance}}{\text{Time}}$$

Step2: Substitute given values

Plug in $\frac{1}{3}$ mile and $\frac{1}{6}$ hour:
$$\text{Hourly distance} = \frac{\frac{1}{3}}{\frac{1}{6}}$$

Step3: Simplify the division

Dividing by a fraction is multiplying by its reciprocal:
$$\frac{1}{3} \times 6 = 2$$

Answer:

D. 2