Final answer:
The sprinkler system can water 2.5 acres of land in one hour.
Step-by-step explanation:
If a sprinkler system is designed to water 5/8 acre of land in 1/4 hour, we can calculate how many acres it can water in 1 hour by setting up a proportion. Since 1 hour is equal to 4 quarters of an hour, we can multiply the number of acres watered in a 1/4 hour by 4 to find out how many acres can be watered in a full hour.
Here is the calculation:
Acres watered in 1/4 hour: 5/8 acre
Acres watered in 1 hour: (5/8 acre) × 4 = 20/8 acres = 2.5 acres
So, the sprinkler system can water 2.5 acres of land in one hour.