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?
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Let total quantity of food is A.
1 soldier consumes in 1day = A/(60*80) =A/4800
80 soldiers consumes in 15 days = A*(80*15)/4800 = A/4
food remained after 15 days = A - A/4 = 3A/4
80 + 20 =100 soldiers will consume food in 1 day =A*100/4800 =A/48
3A/4 food will be consumed by 100 soldiers in = 3A/4/A/48 = 36 days
total days = 15 + 36 = 51 days.
1 soldier consumes in 1day = A/(60*80) =A/4800
80 soldiers consumes in 15 days = A*(80*15)/4800 = A/4
food remained after 15 days = A - A/4 = 3A/4
80 + 20 =100 soldiers will consume food in 1 day =A*100/4800 =A/48
3A/4 food will be consumed by 100 soldiers in = 3A/4/A/48 = 36 days
total days = 15 + 36 = 51 days.
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