# Question #2cc36

Jun 1, 2017

$45$ pages

#### Explanation:

Since the questions asks for the answer in minutes, we have to convert $\frac{1}{2}$ hour to minutes. We know that there are $60$ minutes in $1$ hour, so it follows that there are $30$ minutes in $\frac{1}{2}$ an hour.

Mother is reading at a pace of $30$ pages in $30$ minutes; so that's $1$ page a minute. Therefore, the answer is $45$ pages.

In general, you would use ratios or proportions to solve these kind of problems. We can think of the problem as:

30 pages in 30 minutes AS $x$ pages in 45 minutes:

$\frac{30}{30} = \frac{x}{45}$

We could cross multiply.

$30 x = \left(30\right) \left(45\right)$

Finally, divide both sides of the equation by $30$:

$x = 45$ pages