Nick went on a bike ride to the store, 5 miles away. If it took Nick one 1/2 of an hour to get there in 2/5 of an hour to get back. What was his average rate rate of speed miles per hour for the entire trip?
To find Nick's average rate of speed in miles per hour for the entire trip, we first need to calculate the total distance traveled and the total time taken.
Distance to the store = 5 miles
Distance back from the store = 5 miles
Total distance = 5 + 5 = 10 miles
Time taken to get to the store = 1/2 hour
Time taken to get back from the store = 2/5 hour
Total time taken = 1/2 + 2/5 = 5/10 + 4/10 = 9/10 hour
Average rate of speed = Total distance / Total time taken
Average rate of speed = 10 miles / 9/10 hour
Average rate of speed = 10 miles * 10/9 = 100/9 = 11 1/9 miles per hour
Therefore, Nick's average rate of speed for the entire trip was 11 1/9 miles per hour.