Question

A stock of food is enough for 90 soldier for 48 days .A reinforcement of 30soldiers join this camp,how long would the same stock last

Answer 1

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If 30 soldiers join the camp then the total number of soldiers = 90+30 = 120

Let the no. of days = x

= 90:48::120:x

= Using x1x2 = y1y2

= 90 x 48 = 120x

= $\frac {90×48}{120} = x$

= 12×3

= 36

The food will last with same stock for 36 days

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Answer 2

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If 30 soldiers join the camp then the total number of soldiers = 90+30 = 120

Let the no. of days = x

= 90:48::120:x

= Using x1x2 = y1y2

= 90 x 48 = 120x

=$\displaystyle\frac {90×48}{120}=x$

= 12×3

= 36

The food will last with same stock for 36 days