Question

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

Given that 1000 soldiers have enough food for 180 days.

Hence After 20 days, the remaining food is sufficient for 180-20 160 days.

Given Remaining soldiers after 20 days =

1000+600 = 1600.

Let the remaining food be x.

1000 1600 :: x : 160

1000 × 160 = 1600x

160000 ÷ 1600x

x = 100 days.

The remaining food lasts for 100 days.

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