A cyclist rides her bike at a rate of 30 kilometers per hour. What is this rate in kilometers per minute? How many kilometers will the cyclist travel in 20 minutes? Do not round your answers.
Rate:
$\square \frac{\mathrm{km}}{\min }$
Distance traveled in 20 minutes:
Jkm

Step 1 ：The rate of the cyclist is given as 30 kilometers per hour. We need to convert this rate into kilometers per minute. We know that there are 60 minutes in an hour. So, we divide the rate by 60 to get the rate in kilometers per minute. Hence, the rate in kilometers per minute is \(\frac{30}{60} = 0.5 \frac{\mathrm{km}}{\min}\).

Step 2 ：We are asked to calculate the distance the cyclist will travel in 20 minutes. We can find this by multiplying the rate in kilometers per minute by the time in minutes. Hence, the distance traveled in 20 minutes is \(0.5 \times 20 = 10 \mathrm{km}\).

Step 3 ：Final Answer: Rate: \(\boxed{0.5 \frac{\mathrm{km}}{\min}}\), Distance traveled in 20 minutes: \(\boxed{10 \mathrm{km}}\)