Given:
Mr. K's math class is
[tex]1\frac{1}{4}[/tex]
hours long.
Mr. K worked on problems on the board for 55 minutes
[tex]\frac{11}{12}[/tex]
hour.
Required:
Time required by the students to work on homework.
Explanation:
Mr. K's math class is
[tex]1\frac{1}{4}[/tex]
hours long.
Mr. K worked on problems on the board for 55 minutes.
Let x be the time in hours worked on homework by the students.
Thus, the rest of the class period given to students to work on homework is given by,
[tex]\begin{gathered} 1\frac{1}{4}=\frac{11}{12}+x \\ \Rightarrow x=1\frac{1}{4}-\frac{11}{12} \\ \Rightarrow x=\frac{5}{4}-\frac{11}{12} \\ \Rightarrow x=\frac{15-11}{12} \\ \Rightarrow x=\frac{4}{12} \\ \Rightarrow x=\frac{1}{3} \end{gathered}[/tex]
Final Answer:
The time required by the students to work on homework is,
[tex]\frac{1}{3}[/tex]
hour.
Option B is correct.
