Q18 of 24 Page 213

A garrison of 120 men has provision for 30 days. At the end of 5 days, 5 more men joined them. How many days can they sustain on the remaining provision?

We know that no. of days is inversely proportional to the provision for men.


Given:


For 120 men the provision would last for 30days.


∴ The provision for 1 men would sustain for. 120 x 30 = 3600 days.


Let after the joining of 5 men (after 5 days) the no of more days the provision would last is x days


Now according to the question


⇒ 120 × 30 = 120 × 5 + 125 × x


⇒ 3600 – 600 = 125x


⇒ 3000 = 125x



So, the provision would remain for more 24 days.


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