Question

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

Answer 1

More the number of men, lesser the days to feed them by given food. So, it is an inverse proportion. 

Let the required days be x. 

⇒ 900 × 42 = 1400 × x

⇒ x = \(\frac{900\,\times\,42}{1400}\) = 27 days