Question

a cyclist rides his bike at a rate of 21 miles per hour. what is this rate in miles per minute? how many miles will the cyclist travel in 20 minutes? do not round your answers.
rate: (\frac{\text{mi}}{\text{min}})
distance traveled in 20 minutes: (\text{mi})

Explanation:

Step1: Convert hours to minutes

Since 1 hour = 60 minutes, divide the hourly rate by 60 to get the rate in miles per minute.
$\text{Rate (mi/min)} = \frac{21}{60}$

Step2: Simplify the rate

Reduce the fraction to its simplest form.
$\frac{21}{60} = \frac{7}{20} = 0.35$

Step3: Calculate distance in 20 minutes

Multiply the per-minute rate by 20 minutes.
$\text{Distance} = 0.35 \times 20$

Answer:

Rate: $\frac{7}{20}$ or $0.35$ $\frac{\text{mi}}{\text{min}}$
Distance traveled in 20 minutes: $7$ mi