Question

6. A camp of 1000 soldiers has enough food for 180 days. If 600 more soldiers join the camp after 20 days, how long will the remaining food last? ​

Answer 1

Explanation:

Each soldier consumes 1000/180 = 5.55.... amounts of food a day.

For the first 20 days 20 * 5.555 = 111.11.. amounts of food are consumed.

So there are 1000 - 111.1111 = 888.888.... amounts left.

1600 soldiers will consume 1.6 * 5.55... = 8.888888.. amounts per day,

So the remaining food will last 888.888... / 8.8888....

= 100 days.