Q. 184.3( 3 Votes )

# 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?

Answer :

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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