Question

Ali’s office working hours is 8 1/2, whereas John’s is10 1/6 hours. How much longer Ali has to work
than John?

Answer 1

Dear student
$$\begin{gathered} \mathrm{Ali}\text{'}\mathrm{s}\mathrm{working}\mathrm{hour}=8\frac{1}{2}\mathrm{hour}=\frac{17}{2}\mathrm{hour} \\ \mathrm{John}\text{'}\mathrm{s}\mathrm{working}\mathrm{hour}=10\frac{1}{6}\mathrm{hour}=\frac{61}{6}\mathrm{hour} \\ \mathrm{The}\mathrm{time}\mathrm{for}\mathrm{which}\mathrm{Ali}\mathrm{has}\mathrm{to}\mathrm{work}\mathrm{longer}\mathrm{than}\mathrm{John}=\frac{61}{6}-\frac{17}{2}=\frac{61-17\left(3\right)}{6}=\frac{61-51}{6}=\frac{10}{6}=\frac{5}{3}=1\frac{2}{3}\mathrm{hour} \end{gathered}$$
Regards