Ben read 1/4 of a page of his book in 1/3 of a minute. How long will it take him to read one page? If each chapter is 20 pages long and the book has 12 chapters, how long will it take him to read the book?

Let's break down the problem step by step.

### Step 1: Time to read one page
Ben reads \(\frac{1}{4}\) of a page in \(\frac{1}{3}\) of a minute.

To find how long it takes him to read one full page, we can set up a proportion:

\[
\frac{\text{time to read 1 page}}{\text{time to read } \frac{1}{4} \text{ of a page}} = \frac{\text{1 page}}{\frac{1}{4} \text{ page}}
\]

This becomes:

\[
\frac{\text{time to read 1 page}}{\frac{1}{3} \text{ minute}} = \frac{1}{\frac{1}{4}}
\]

Simplifying the right side:

\[
\frac{1}{\frac{1}{4}} = 4
\]

Thus, the time to read one page is:

\[
\text{Time to read 1 page} = 4 \times \frac{1}{3} = \frac{4}{3} \text{ minutes}.
\]

So, it will take Ben \(\frac{4}{3}\) minutes, or approximately 1 minute and 20 seconds, to read one page.

### Step 2: Time to read the entire book
The book has 12 chapters, and each chapter is 20 pages long. Therefore, the total number of pages in the book is:

\[
\text{Total pages} = 12 \times 20 = 240 \text{ pages}.
\]

Now, we know Ben takes \(\frac{4}{3}\) minutes to read one page, so the total time to read the book is:

\[
\text{Total time} = 240 \times \frac{4}{3} = 320 \text{ minutes}.
\]

Thus, it will take Ben **320 minutes** to read the entire book.

### Conclusion:
- Ben takes \(\frac{4}{3}\) minutes to read one page.
- It will take him 320 minutes to read the entire book.

Would you like more details or have any questions?

Here are 5 related questions:
1. How long would it take Ben to read half of a chapter?
2. If Ben increases his reading speed by 20%, how much time will he save for the whole book?
3. How many chapters can Ben read in 2 hours?
4. If each chapter had 25 pages, how much longer would the total reading time be?
5. How many pages can Ben read in 10 minutes?

**Tip:** To handle rates like this, setting up proportions helps clarify the relationships between time and quantity (pages, in this case).

Learn how to calculate how long it will take Ben to read his book by using proportions and rates. The problem involves reading speed, time per page, and total pages in a book, making it a practical exercise in applying proportional relationships. Suitable for students in Grades 6-8.

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