Final answer:
To find the average speed in miles per hour, divide the distance by the time in hours, which gives approximately 8.57 mph. To convert to feet per second, multiply the speed in miles per hour by the conversion factors, yielding approximately 12.57 fps.
Step-by-step explanation:
To calculate your average speed in miles per hour (mph) when you travel a mile in 7 minutes, you simply divide the distance by the time taken and convert minutes into hours. Since there are 60 minutes in an hour, 7 minutes is equivalent to 7/60 hours. Therefore:
Distance traveled = 1 mile
Time taken = 7/60 hours
Average speed (mph) = Distance / Time
Average speed (mph) = 1 mile / (7/60 hours)
= 60/7 mph
≈ 8.57 mph
To convert miles per hour into feet per second, note that 1 mile is 5280 feet and 1 hour is 3600 seconds.
Average speed (fps) = (5280 feet/mile) × (1 mile/3600 seconds) × (60/7 mph)
Average speed (fps) = (5280/3600) × (60/7) fps
≈ 12.57 fps