Question

Sean read 15 of a book in 112 hours.

How long will it take Sean to read 12 of this book?

Enter your answer as a mixed number in simplest form in the box.

hours

Answer 1

To find out how long it will take Sean to read 12 of the book, we first need to calculate the time it takes Sean to read 1 of the book.

Sean read 15% of the book in 112 hours. Therefore, the time to read 1% of the book is:

\[
\text{Time for 1%} = \frac{112 \text{ hours}}{15}
\]

Calculating that gives:

\[
\text{Time for 1%} = \frac{112}{15} \approx 7.4667 \text{ hours}
\]

Now, to find the time to read 12% of the book, we multiply the time for 1% by 12:

\[
\text{Time for 12%} = 12 \times \frac{112}{15}
\]

Calculating that gives:

\[
\text{Time for 12%} = \frac{12 \times 112}{15} = \frac{1344}{15}
\]

Next, we simplify \(\frac{1344}{15}\). Performing the division:

\[
1344 \div 15 = 89.6
\]

Next, we convert \(89.6\) to a mixed number. The whole number part is \(89\), and to find the fractional part, we take the decimal \(0.6\) and convert it to a fraction:

\[
0.6 = \frac{6}{10} = \frac{3}{5}
\]

Thus, \(89.6\) can be expressed as:

\[
89 \frac{3}{5}
\]

Therefore, it will take Sean \(89 \frac{3}{5}\) hours to read 12% of the book.

Final answer:

\[
\boxed{89 \frac{3}{5}}
\]