we will first change the hours for minutes
Danna
[tex]\frac{3}{10}\text{hours}\longrightarrow18\text{minutes}[/tex]
Steven
[tex]\frac{1}{6}\text{hours}\longrightarrow10\text{minutes}[/tex]
so, the new information is
Danna read 1/4 of the book in 18 minutes
Steven read 1/5 of the book in 10 minutes
now we express the time in a single minute and on pages of book
For Danna we divide all the ralation between 18
so
[tex]\begin{gathered} \frac{\frac{1}{4}}{18}book\longrightarrow\frac{18}{18}\text{minutes} \\ \\ \frac{1}{72}book\longrightarrow1\text{minute} \\ \\ \frac{1}{72}\times60\text{pages}\longrightarrow1\text{minute} \\ \\ 0.83\text{ pages}\longrightarrow1minute \end{gathered}[/tex]
For steven we divide all the relation between 10
so
[tex]\begin{gathered} \frac{\frac{1}{5}}{10}\text{book}\longrightarrow\frac{10}{10}\text{minutes} \\ \\ \frac{1}{50}\text{book}\longrightarrow1\text{minute} \\ \\ \frac{1}{50}\times60\text{pages}\longrightarrow1\text{minute} \\ \\ 1.2pages\longrightarrow1minute \end{gathered}[/tex]
we can conclude that steven reads more pages per minute than Dana because he she reads 0.83 pages per minute and steven 1.2 pages per minute
so the right statement is option B
