Final answer:
Logan drinks 3/7 of a glass of water in one hour.
Step-by-step explanation:
To find out how many glasses of water Logan drinks in one hour, we need to convert the given time of 1 3/4 hours to 7/4 hours. Then, we can use the unitary method to find the number of glasses of water he drinks in one hour.
Let's set up the proportion:
3/4 glasses of water / 7/4 hours = x glasses of water / 1 hour
Cross-multiplying, we get:
3/4 * 1 hour = 7/4 * x glasses of water
3/4 = 7/4 * x
3/4 * 4/7 = x
12/28 = x
Reducing the fraction, we get:
x = 6/14 = 3/7
Therefore, Logan drinks 3/7 of a glass of water in one hour.