Question

nina can ride her bike 63,360 feet in 3,400 seconds, and sophia can ride her bike 10 miles in 1 hour. what is ninas rate in miles per hour if there are 5,280 feet in a mile?
which girl bikes faster?
10.7 mph
11.7 mph
12.7 mph
13.7 mph

Explanation:

Step1: Convert feet to miles

$\text{Miles Nina rode} = \frac{63360}{5280} = 12$ miles

Step2: Convert seconds to hours

$\text{Hours Nina rode} = \frac{3400}{3600} = \frac{17}{18}$ hours

Step3: Calculate Nina's speed

$\text{Speed} = \frac{12}{\frac{17}{18}} = 12 \times \frac{18}{17} \approx 11.7$ mph

Step4: Compare speeds

Nina's speed (11.7 mph) > Sophia's speed (10 mph)

Answer:

1. Nina's rate: 11.7 mph
2. Faster girl: Nina