Final answer:
To find out how many miles the cyclist travels in 30 minutes, divide the distance traveled by the time taken. The cyclist will travel 6 miles in 30 minutes.
Step-by-step explanation:
To find out how many miles the cyclist travels in 30 minutes, we need to calculate the speed of the cyclist in miles per minute. To do this, we divide the distance traveled by the time taken:
Average Speed = Distance / Time
In this case, the cyclist travels 4 miles in 20 minutes, so the average speed is 4 miles / 20 minutes = 0.2 miles per minute.
Now, we can calculate the distance the cyclist travels in 30 minutes by multiplying the average speed by the time:
Distance = Average Speed * Time = 0.2 miles/minute * 30 minutes = 6 miles.
Therefore, the cyclist travels 6 miles in 30 minutes.