To determine how much Richard can read in one hour, we need to find the rate at which he reads.
If Richard can read \(\frac{1}{5}\) of a book in \(\frac{1}{2}\) hour, we can calculate the amount he can read in one hour by setting up a proportion:
In \(\frac{1}{2}\) hour, he reads \(\frac{1}{5}\) of a book. In \(1\) hour, he would read double that amount since \(1\) hour is twice \(\frac{1}{2}\) hour.
So, in \(1\) hour, Richard can read: \[ 2 \times \frac{1}{5} = \frac{2}{5} \]
Now, we look at the answer options:
A. \(\frac{1}{10}\) of a book
B. \(1 \frac{3}{5}\) books (which is \(1.6\) books)
C. \(\frac{5}{8}\) of a book
D. \(\frac{1}{3}\) of a book
The closest calculation shows that Richard can read \(\frac{2}{5}\) of a book in one hour, which is equivalent to \(0.4\) books. None of the options directly match this, so let's check:
- A is \(0.1\): too low
- B is \(1.6\): too high
- C is \(0.625\): too high
- D is approximately \(0.33\): too low
Since \(\frac{2}{5}\) is not a direct match of any options provided and appears to be unlisted, it seems there might be an oversight in frame answers. Richard reads \(\frac{2}{5}\) of a book in one hour.
To summarize, Richard reads \(\frac{2}{5}\) of a book in one hour, and this answer might not align with the provided options. There might be a misunderstanding in context or errors in the question setup.