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**A fort is provided with food for 80 soldiers to last for 60 days. Find how long would the food last if 20 additional soldiers join after 15 days.**

Answer:

Given:

A fort is provided with food for 80 soldiers to last for 60 days.

After 15 days, the food is sufficient for 80 soldiers for (60 – 15) days = 45 days.

After 15 days, 20 additional soldiers join the fort.

So number of soldiers in the fort = 80 + 20 = 100

We know that for 80 soldiers, the food is sufficient for = 45 days

For 1 soldier, the food is sufficient for = (80 × 45) days

∴ For 100 soldiers, the food is sufficient for = (80 × 45)/100 days

= 36 days.

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