Question

The commander of a stranded battalion with a strength of 400 soldiers has enough food to last them for 12 days. a few kilometers away, the commander notices another smaller, stranded group of 80 soldiers. the commander is worried that if the smaller group were to join s group, their food supplies would run out faster. how many days would the food last for 480 soldiers?

Answer 1

For 400 soldiers, food is sufficient for = 12 days
Let food consumed by 1 soldier in 1 day be f
And total food be F, so
F = 400 x f x 12
Now another 80 soldiers join the group, so
let now the number of days food will last be d, so
F = 480 x f x d

Equating both equations, we get
400 x f x 12 = 480 x f x d
400 x 12 = 480 x d
5 x 12 = 6 x d
d = 10
Therefore, now food will last 10 days.