Question

A garrison of 900 men had provisions for 42 dyas. However, a reinforcement of 500 men arrived. For how many days will the food last now ?

Answer 1

Let for x day, the food provision is sufficient for 900 + 500 = 1400 men

Men : Days :: Men : Days

900 : 42 :: 900 + 500 = 1400 : x

(more men, less days)

$\therefore$ By inverse proportional,

28 : x : : 36 : 9

$x=\frac{28\times 9}{36}=7$

$\therefore$ No. days food will lost = 7 days