Question

In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel. How long would the students be able to carry on with the remaining food?

Answer 1

Answer: 10 Days

Step-by-step explanation:

After 10 days, the remaining food would be sufficient for the 1000 students for 20 more days

-->If 1000 more students are added, it shall be sufficient for only 10 days (as the no. of students is doubled, the days are halved

Answer 2

Given :

In a hostel, there was food for 1000 students for one month. After 10 days, 1000 more students joined the hostel.

To Find:

How long would the students be able to carry on with the remaining food?

Solution:

Food lasts for 1000 students for days = 30

After 10 days, 1000 more students joined the hostel.

Number of students = 1000+1000=2000

Now food last for 1000 students for days = 20

Food lasts for 2000 students for days =$\frac{20 \times 1000}{2000}=10$

Hence the students will be able to carry on with the remaining food for 10 days