Let the time taken to read the whole be y
If he reads 1/8 of the whole book (x), it can be expressed as,
[tex]\frac{1}{8}\text{ of x =}\frac{1}{8}\times x=\frac{x}{8}[/tex]If it takes Adam to read x/8 of a book in 1/6 hours,
To read the whole book, it will take Adam,
[tex]\begin{gathered} Adam\text{ read }\frac{x}{8}\text{ in }\frac{1}{6} \\ To\text{ read the whole book (x) in y time} \\ y\times\frac{x}{8}=x\times\frac{1}{6} \\ \frac{xy}{8}-\frac{x}{6} \\ \text{Crossmultiply} \\ 6\times xy=8x \\ \text{Divide both sides by }6x \\ \frac{6xy}{6x}=\frac{8x}{6x} \\ y=\frac{4}{3}=1\frac{1}{3}hours \end{gathered}[/tex]Hence, it will take 1 1/3 hours for Adam to read the whole book.
