The provisions will last 1.2 days for one student and 48 days for 40 students, with a total supply of 60 days shared among 50 students in the hotel.
To determine how long the provisions will last for one student, divide the total number of days (60) by the number of students (50):
![\[ \text{Days for one student} = (60)/(50) = 1.2 \text{ days/student} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/v57p4y8kj6p3jo7b2e5geh0970u46f2xty.png)
For 40 students, multiply the time for one student by the number of students:
![\[ \text{Days for 40 students} = 1.2 * 40 = 48 \text{ days} \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/rwjf083ai7x9ojs2bxdeg35bi03n5i3dke.png)
So, the provisions will last for 1.2 days per student and 48 days for 40 students.