Question

if 48 men have ration for 16 days,hiw long will the food last, if a reinforcement of 16 men arrives?​

Answer 1

Step-by-step explanation:

Food lasted for 48 men = 16 days

Food lasted for 1 men = 48×16 days

Food lasted for (48+16) men

= 48×16 / 48+16

= 48×16 / 64

= 48/4

= 12 days

Food will last for 12 days if a reinforcement of 16 men arrives.

Answer 2

Question-

If 48 men have ration for 16 days how long will the food last if a reinforcement of 16 men arrived​?

Answer-

For this question, we have to first understand if this is a question of direct proportion or inverse proportion.

Here, the more the men, the less time the food will last. Similarly, the less the men, the more time the food will last.

So, this is a question of inverse proportion.

48 men ∝ 1/16

Equate it

48 = 16

1 = 48 × 16

16 additional men have been added.

Then the total number of men become 64

64 = (48 × 16)/64 = 768/64 = 12 days

The food will last for 12 days if a reinforcement of 16 additional men arrives.