Question

A hostel had rations for 60 days for 500 students. After 12 days, 300 more students join the hostel. How long will the remaining rations last?

Answer 1

Let total rations be P kg.

Given, the rations are sufficient for 60 days. So, the ration used in one day is p/60 kg. This is for students. So, the ration used per day per student is p/(60*500) kg.

ration used in 12 days=12*p/60=p/5 kg

ration left= 4p/5

Let the number of days be d.

Now, number of students is 800.

So, ration per day per student= (4p/5)/(800*d)

p/(60*500)=(4p/5)/800*d

Therefore d=30.

The remaining rations will last for 30 days.