rita goes for a bike ride on a trail by her home. after 5 minutes of riding she sees a mile marker. when she…

rita goes for a bike ride on a trail by her home. after 5 minutes of riding she sees a mile marker. when she reaches the third mile marker, she realizes she has been biking for 30 minutes. what is the rate at which she is riding?

rita goes for a bike ride on a trail by her home. after 5 minutes of riding she sees a mile marker. when she reaches the third mile marker, she realizes she has been biking for 30 minutes. what is the rate at which she is riding?

Answer

Explanation:

Step1: Calculate the distance

Since she reaches the third mile marker, the distance (d = 3) miles.

Step2: Calculate the time of actual riding

She saw the first mile - marker after 5 minutes. The time of riding from the start to the third mile - marker is (t=30 - 5=25) minutes. Convert minutes to hours: (t=\frac{25}{60}=\frac{5}{12}) hours.

Step3: Use the formula (v=\frac{d}{t})

The formula for speed (v) (rate) is (v = \frac{d}{t}). Substitute (d = 3) miles and (t=\frac{5}{12}) hours into the formula: (v=\frac{3}{\frac{5}{12}}). Using the rule of dividing by a fraction ((a\div\frac{b}{c}=a\times\frac{c}{b})), we have (v = 3\times\frac{12}{5}=\frac{36}{5}=7.2) miles per hour.

Answer:

(7.2) miles per hour