A garrison of 750 men has provision for 20 weeks. If at the end of 4 weeks 450 men joined, then how
long will the provisions last?
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Answer: 10 Weeks
Step-by-step explanation:
Let provision for 750 men for 20 weeks = x
Provision for 1 man for 1 week = x/(20*750)
Provision for 750 men for 1 week = x/20
Provision used up in first 4 weeks = 4* x/20 = x/5
Provision remaining = x - x/5 = 4x/5
Men added = 450. So, total men now = 750 + 450 = 1200
Provision for 1200 men for 1 week
= 1200 * x/(20*750) = 2x/25
Therefore no of weeks provision will last
= (4x/5)/(2x/25)
= 10 weeks
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