Given that the pharmacist can fill 250 prescriptions in 40 hours.
Consider the following,
![\begin{gathered} 1\text{ hour}=60\text{ minutes} \\ 40\text{ hour}=40*60=2400\text{ minutes} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/50vo5fmuaj0mpwmq0qmergni0yjnhx0hv9.png)
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,
![\begin{gathered} 250\text{ prescriptions}\equiv2400\text{ minutes} \\ \Rightarrow1\text{ prescription}\equiv(2400)/(250)=9.6\text{ minutes} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/l4fb8bfuww1i3jpzerhdk1fol1p4gvx4yb.png)
Thus, it will take 9.6 minutes to fill 1 prescription.
Therefore, option (E) is the correct choice.