A garrison is provided with rations for 160 soldiers to last for 60 days. How long would the whole ration last if 40 additional soldiers join them after 15 days. Plz give answer fastly. And plz explain every step.
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1
Step-by-step explanation:
no. of soldiers ,m is inversely proportional to no. of days food lasts, d
m1=160, d1=60-15 = 45, m2 = 160+40 = 200, d2=d-15
so, m1*d1 = m2*d2
160×45 = 200×(d-15)
160×45/200 = d-15
d-15 = 36
d= 15+36 = 51
it will last for 51 days
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