Question

a cyclist rides her bike at a rate of 9 kilometers per hour. what is this rate in kilometers per minute? how many kilometers will the cyclist travel in 2 minutes? do not round your answers.
rate: (square \frac{\text{km}}{\text{min}})
distance traveled in 2 minutes: (square \text{km})

Explanation:

Step1: Convert hours to minutes

Since 1 hour = 60 minutes, divide the hourly rate by 60 to get the rate per minute.
$\frac{9}{60} = \frac{3}{20}$ km/min

Step2: Calculate distance in 2 minutes

Multiply the per-minute rate by 2 minutes.
$\frac{3}{20} \times 2 = \frac{6}{20} = \frac{3}{10}$ km

Answer:

Rate: $\frac{3}{20}$ $\frac{\text{km}}{\text{min}}$
Distance traveled in 2 minutes: $\frac{3}{10}$ km