lena skied downhill at a steady speed on a 3-mile slope. she reached the bottom of the slope in…

lena skied downhill at a steady speed on a 3-mile slope. she reached the bottom of the slope in \\(\\frac{1}{4}\\) hour. lena wants to know her speed in miles per hour. which fraction represents lenas speed in miles per hour? \\(\\frac{\\frac{1}{4}}{3}\\) \\(\\frac{1}{4}\\) \\(\\frac{3}{4}\\) \\(\\frac{3}{\\frac{1}{4}}\\)

lena skied downhill at a steady speed on a 3-mile slope. she reached the bottom of the slope in \\(\\frac{1}{4}\\) hour. lena wants to know her speed in miles per hour. which fraction represents lenas speed in miles per hour? \\(\\frac{\\frac{1}{4}}{3}\\) \\(\\frac{1}{4}\\) \\(\\frac{3}{4}\\) \\(\\frac{3}{\\frac{1}{4}}\\)

Answer

Explanation:

Step1: Recall speed formula

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

Step2: Identify distance and time

The distance Lena skied is 3 miles, and the time taken is ( \frac{1}{4} ) hour.

Step3: Substitute into formula

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

Answer:

( \frac{3}{\frac{1}{4}} ) (the fourth option: ( \boldsymbol{\frac{3}{\frac{1}{4}}} ))