Question

500 men had food provisions for 24 days.However a rainforcement of 300bmen arrived.for how many days will the food last now?​

Answer 1

Let no. of men be x and no. of days be y
As no. of men increase, the no. of days the will last decreases
Therefore inverse variation
xy=k( k is the proportionality constant)
When x is 500 and y= 24
Therefore,
xy=k
500×24=12000
k= 12000
When x= 500+300=800, y=?
k=xy
12000= 800×y
12000÷800= y
Therefore, y= 15
Ans.The food will last for 15 days.