Answer:
[tex]3\frac{3}{4}[/tex] hours.
Step-by-step explanation:
Sean read [tex]\frac{1}{5}[/tex] of a book in [tex]1\frac{1}{2}[/tex] hours.
We are asked to determine the time that Sean requires to read [tex]\frac{1}{2}[/tex] of this book.
If the rate of reading the book is assumed to be constant, then we can use the unitary method to find the answer.
Now, Sean reads [tex]\frac{1}{5}[/tex] of a book in [tex]\frac{3}{2}[/tex] hours.
So, Sean reads the total of the book in [tex]\frac{3}{2} \div \frac{1}{5} = \frac{15}{2}[/tex] hours.
Hence, Sean reads [tex]\frac{1}{2}[/tex] of this book in [tex]\frac{15}{2} \times \frac{1}{2} = \frac{15}{4} = 3\frac{3}{4}[/tex] hours. (Answer)