# Tamara can proofread 12 pages in 6 minutes. How many minutes will it take her to proofread 96 pages?

Jul 4, 2017

$48$ minutes.

#### Explanation:

$\text{12 pages = 6 minutes}$

$12 x = 96$

$x = 8$

So

$6 x = 6 \times 8 = \text{48 minutes}$

Jul 4, 2017

$48$ minutes.

#### Explanation:

If Tamara reads $12$ pages in $6$ minutes, we just need to find out how many $12$ pages there are in $96$ pages, to find that

$\frac{96}{12} = 8$

there are $8$ sets of $12$ pages. If he reads $1$ set of $12$ pages in $6$ minutes, to read $8$ of them it takes her $48$ minutes.

$8 \times 6 = 48$

Jul 7, 2017

$48$ minutes

#### Explanation:

This is a typical direct proportion question, comparing two different quantities, in this case, pages and time.

As the number of pages increases the time taken to read them also increases.

x/96 = 12/6" "(larr"minutes")/(larr"pages")

$6 x = 96 \times 12$

$x = \frac{96 \times 12}{6}$

$x = 48$ minutes.

You could also simply notice that the time is half as long as the number of pages, therefore $96$ pages will take $48$ minutes.