nina can ride her bike 63,360 feet in 3,400 seconds, and sophia can ride her bike 10 miles in 1 hour. what…

Explanation:

Step1: Convert feet to miles

First, convert the distance Nina rides from feet to miles. Since 1 mile = 5280 feet, the distance $d$ in miles that Nina rides is $d=\frac{63360}{5280}= 12$ miles.

Step2: Convert seconds to hours

Next, convert the time $t$ from seconds to hours. Since 1 hour = 3600 seconds, the time $t$ in hours is $t=\frac{3400}{3600}=\frac{17}{18}$ hours.

Step3: Calculate Nina's speed

Use the speed - formula $v = \frac{d}{t}$. Substitute $d = 12$ miles and $t=\frac{17}{18}$ hours into the formula. $v=\frac{12}{\frac{17}{18}}=12\times\frac{18}{17}=\frac{216}{17}\approx12.71$ miles per hour.

Step4: Compare speeds

Nina's speed is approximately 12.71 miles per hour and Sophia's speed is 10 miles per hour. Since $12.71>10$, Nina bikes faster.

Answer:

Nina's rate: $\frac{216}{17}\approx12.71$ miles per hour Which girl bikes faster: Nina