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A town with population of 4000 had food packets for 30 days. After 10 days 1000 peoplemore are added. How long will the food packets last now?

Question

A town with population of 4000 had food packets for 30 days. After 10 days 1000 peoplemore are added. How long will the food packets last now?

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Solution

Sure, let's solve this step by step:

Step 1: Initially, the town has 4000 people and food packets that will last for 30 days.

Step 2: After 10 days, the food packets would have been consumed by the 4000 people. So, the remaining food packets can last for 20 more days for the same 4000 people.

Step 3: However, 1000 more people are added to the town after 10 days. So, the total population becomes 5000.

Step 4: Now, we need to find out how long the remaining food packets will last for 5000 people.

Step 5: If 4000 people can consume the remaining food packets in 20 days, then 1 person would consume the same amount of food in 4000*20 = 80000 person-days.

Step 6: Therefore, 5000 people would consume the same amount of food in 80000/5000 = 16 days.

So, the food packets will last for 16 more days after the addition of 1000 people.

This problem has been solved

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