Question

mary ran at a steady speed in a 10-mile race. her finish time was 2 hours. mary can bike the same distance in \\(\frac{1}{2}\\) hour. mary wants to know her running speed and biking speed in miles per hour. which fraction represents marys running speed in miles per hour? \\(\frac{\frac{1}{2}}{10}\\) \\(\frac{1}{2}\\) \\(\frac{10}{2}\\) \\(\frac{10}{\frac{1}{2}}\\)

Explanation:

Step1: Recall speed formula

Speed is calculated as distance divided by time, so \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \).

Step2: Identify running distance and time

Mary's running distance is 10 miles, and her running time is 2 hours.

Step3: Calculate running speed

Using the speed formula, substitute distance = 10 miles and time = 2 hours. So running speed \( = \frac{10}{2} \) miles per hour.

Answer:

\(\frac{10}{2}\) (corresponding to the third option among the given choices)