Question

On average, Shandra drinks 3/5 of a 10-ounce glass of water in 1 2/5 hours. How many glasses of water does she drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answer 1

To find out how many glasses of water Shandra drinks in one hour, we start with the information provided:

Shandra drinks \( \frac{3}{5} \) of a 10-ounce glass in \( 1 \frac{2}{5} \) hours.

First, let's convert \( 1 \frac{2}{5} \) hours into an improper fraction:

\[
1 \frac{2}{5} = 1 + \frac{2}{5} = \frac{5}{5} + \frac{2}{5} = \frac{7}{5} \text{ hours}
\]

Now, we need to determine how many glasses of water she drinks in one hour by using the rate at which she drinks water.

Her rate of water consumption in terms of glasses can be calculated as follows:

\[
\text{Rate} = \frac{\text{Glasses consumed}}{\text{Time in hours}} = \frac{\frac{3}{5}}{\frac{7}{5}}
\]

To simplify this expression, we multiply by the reciprocal of the denominator:

\[
\text{Rate} = \frac{3}{5} \times \frac{5}{7} = \frac{3}{7} \text{ glasses per hour}
\]

Thus, Shandra drinks \( \frac{3}{7} \) glasses of water in one hour.

Therefore, the answer is:

\[
\boxed{\frac{3}{7}}
\]