Question

A camp of soldiers has a provision for 60 soldiers, sufficient for 40 days. After 20 days 20 soldiers left the camp. Then find how many more days the provision will last?

Answer 1

Answer:

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Answer 2

Answer:

30 days for the remaining soldiers ans.

Step-by-step explanation:

In the camp for 120 soldiers, the ration for 60 days is sufficient.

After 40 days in the camp, ration for 120 soldiers will be sufficient for 60 - 40 = 20 days.

Now, after 40 days 40 soldiers went anywhere.

Then, let for remaining 120 - 40 = 80 soldiers that ration will last for X days.

No. Of soldiers and No. Of days for expenditure of ration are in reciprocal ratio.

Hence, No. Of soldiers : No. Of days : : No. Of days : No. Of days.

$120 : 80 : : x : 20$

$➔ \: \: \: \frac{120}{80} = \frac{x}{2}$

$➔ \: \: \: \frac{3}{2} = \frac{x}{20}$

$➔2x = 20 \times 3$

$∴ \: \: \: \: x = \frac{20 \times 3}{2} = 30$

Hence, the left ration will last for 30 days for the remaining soldiers