Question

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in inverse or direct proprtion






A garrison of 750 men has a provision for 20 weeks . if at the end of 4 weeks , they are renforced by 450 , how long will the provision last now

Answer 1

ANSWER: 10 WEEKS EXPLATION IS BELOW

Answer 2

Solution by RKRAUSHAN

Let provision for 750 men for 20 weeks = x

Let provision for 750 men for 20 weeks = x Provision for 1 man for 1 week = x/(20*750)

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

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

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

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

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

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

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

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)

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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