Sure, let's solve this step-by-step.
To find the average speed of the bus, we need to use the formula for average speed:
[tex]\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \][/tex]
Step 1: Determine the total distance traveled.
The problem states that the bus travels a distance of 20 kilometers.
Step 2: Determine the total time taken.
The bus takes 30 minutes to travel the 20 kilometers.
Step 3: Convert the time from minutes to hours.
Since speed is usually given in kilometers per hour (km/h), we need to convert the time into hours. There are 60 minutes in an hour, so:
[tex]\[ \text{Time in hours} = \frac{30 \text{ minutes}}{60 \text{ minutes/hour}} = 0.5 \text{ hours} \][/tex]
Step 4: Calculate the average speed.
Now, we can substitute the total distance and total time into the formula for average speed:
[tex]\[ \text{Average Speed} = \frac{20 \text{ km}}{0.5 \text{ hours}} \][/tex]
Step 5: Simplify the fraction.
[tex]\[ \text{Average Speed} = \frac{20}{0.5} = 40 \text{ km/h} \][/tex]
Therefore, the average speed of the bus is [tex]\(40 \text{ km/h}\)[/tex].
The correct answer is: 40 km/h.
