Question

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

Answer 1

Hint: Here we will first find the time required to proofread 1-page using the unitary method. Then we will multiply 96 to the time required by 1 page to get the time required to proofread 96 pages. The unitary method is a method where first, the per-unit quantity is calculated, and then the number of units is multiplied.

Complete step by step solution:
It is given that Tamara can proofread 12 pages in 6 minutes.
First, we will find the time required to proofread 1 page. Therefore, we get
Time required to proofread 1 page \[ = \dfrac{6}{{12}}\] minutes
Dividing the numerator and denominator by 6, we get
$ \Rightarrow $ Time required to proofread 1 page \[ = \dfrac{1}{2}\] minutes
Now we will multiply the time required to proofread 1 page with 96 to get the time required to proofread 96 pages. Therefore, we get
Time required to proofread 96 pages \[ = \dfrac{1}{2} \times 96\] minutes
Now we will perform the basic multiplication operation. Therefore, we get
Time required to proofread 96 pages \[ = 48\] minutes

Hence, she will take 48 minutes to proofread 96 pages.

Note:
In order to find the time required to proofread 1 page, we need to divide the given time by the number of pages. However, to find the time required to proofread 96 pages we have to multiply the number of pages by the time required to proofread 1 page and not divide it.