Question

a cyclist rides his bike at a rate of 18 miles per hour. what is this rate in miles per minute? how many miles will the cyclist travel in 15 minutes? do not round your answers. rate: \\(\frac{\square}{\square}\\) \\(\frac{\text{mi}}{\text{min}}\\) distance traveled in 15 minutes: \\(\square\\) mi

Explanation:

Step1: Convert hours to minutes

There are 60 minutes in an hour. To find the rate in miles per minute, divide the miles per hour by 60. So, the rate \( r \) in miles per minute is \( r=\frac{18}{60} \) miles per minute. Simplifying \( \frac{18}{60} \), we get \( \frac{3}{10} = 0.3 \) miles per minute.

Step2: Calculate distance in 15 minutes

Use the formula \( d = r\times t \), where \( r = 0.3 \) miles per minute and \( t = 15 \) minutes. So, \( d=0.3\times15 = 4.5 \) miles.

Answer:

Rate: \(\frac{3}{10}\) (or \(0.3\)) \(\frac{\text{mi}}{\text{min}}\)
Distance traveled in 15 minutes: \(4.5\) mi