Question

Sean read

1
-
5
of a book in
1

1
-
2
hours.
How long will it take Sean to read
1
-
2
of this book?
Enter your answer as a mixed number in simplest form in the box.

Answer 1

`3(3)/(4)` hours.

Explanation:

Sean read
`(1)/(5)` of a book in
`1(1)/(2)` hours.

We are asked to determine the time that Sean requires to read
`(1)/(2)` 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
`(1)/(5)` of a book in
`(3)/(2)` hours.

So, Sean reads the total of the book in
`(3)/(2) / (1)/(5) = (15)/(2)` hours.

Hence, Sean reads
`(1)/(2)` of this book in
`(15)/(2) * (1)/(2) = (15)/(4) = 3(3)/(4)` hours. (Answer)