In a Police camp there is provision of food for 125 police men for 36 days. After 16 days 25 police men were shifted to another place . How long the remaining food would last for the remaining policemen ?

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Answer 1 · 2015-04-03T07:16:03

The answer is: #25# days.

Lets say each policemen eats #k# amount of food in a day.

So the total amount of food is:

#125*36*k = 4500k# units of food

In #16# days, #125# policemen will consume

#125*16*k=2000k# units of food.

So there are #4500k-2000k=2500k# units of food left.

Since #25# policemen left the camp now there are #100# policemen.

Lets say the food will last for #d# days.

Still a policeman eats #k# amount of food in a day so:

#100*k*d = 2500k#
#d=25#

The remaining food would last for #25# days.