Final answer:
The runner's average speed is found by dividing the distance by the time, resulting in 0.1667 miles per minute, which corresponds to option (d).
Step-by-step explanation:
The cross-country runner completed a 3-mile run in 18 minutes. To find the runner's average speed, we divide the total distance by the total time taken.
First, convert the time into hours since the speeds are given in miles per minute (m/m):
18 minutes = 18/60 hours = 0.3 hours.
Then, calculate the average speed:
Average speed = Total distance / Total time
Average speed = 3 miles / 0.3 hours = 10 miles per hour.
To convert this into miles per minute, divide by 60 (since there are 60 minutes in an hour):
Average speed in m/m = 10 miles per hour / 60 minutes per hour = 0.1667 m/m.
Therefore, the answer is (d) 0.1667 m/m.