Final answer:
Jonathan drinks approximately 0.238 glasses of water per hour, calculated by dividing 2/3 of a glass by 2 4/5 hours and simplifying.
Step-by-step explanation:
Jonathan drinks 2/3 of a 10-ounce glass of water in 2 4/5 hours. To find out how much water he drinks in glasses per hour, we need to calculate the rate.
First, convert 2 4/5 hours to an improper fraction: 2 4/5 = (2×5)+4 = 10+4 = 14/5 hours.
Now, divide the amount of water he drinks, 2/3 of a glass, by the time in hours (14/5 hours).
The rate of Jonathan drinking water is: (2/3) glasses / (14/5) hours = (2/3) × (5/14) glasses/hour
= 10/42 glasses/hour, which simplifies to approximately 0.238 glasses per hour.
This calculation shows that Jonathan drinks approximately 0.238 glasses of water per hour on average.