Given that the pharmacist can fill 250 prescriptions in 40 hours.
Consider the following,
[tex]\begin{gathered} 1\text{ hour}=60\text{ minutes} \\ 40\text{ hour}=40\times60=2400\text{ minutes} \end{gathered}[/tex]So it can be understood that the pharmacist can fill 250 prescriptions in 2400 minutes.
Then the time taken to fill 1 prescription is calculated as,
[tex]\begin{gathered} 250\text{ prescriptions}\equiv2400\text{ minutes} \\ \Rightarrow1\text{ prescription}\equiv\frac{2400}{250}=9.6\text{ minutes} \end{gathered}[/tex]Thus, it will take 9.6 minutes to fill 1 prescription.
Therefore, option (E) is the correct choice.