Question

A garrison of 120 men has provision for 30 days. At the end of five days, five more
men joined them. How many days can they sustain on the remaining provision?​

Answer 1

we know that no. of days is inversely propotional to the provision for men.  

So for 120 men the provision would last for 30days. (given)  

Therefore, the provision for 1 men would sustain for. 120 *30 = 3600 days.  

Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days  

A.t.q 120*30 = 120*5+125*x  

(120*30) - (120*5)= 125x  

120(30-5)=125x  

120 * 25 = 125x  

120 = 5x  

x=120/5  

x= 24  

so the provision would remain for more 24 days.