Question

a garrison of 750 men has provisions for 20 weeks.If at the end of 4 weeks they are reinforced by 450 men.how long will it last?

Answer 1

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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