Question

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 1

we know that no. of days is inversely propotional to the provision for men. 

So for 120 men the provision would last for 30days. (given) 

Therefore, the provision for 1 men would sustain for. 120 *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 

A.t.q 120*30 = 120*5+125*x 

(120*30) - (120*5)= 125x 

120(30-5)=125x 

120 * 25 = 125x 

120 = 5x 

x=120/5 

x= 24 

so the provision would remain for more 24 days

Answer 2

Answer:

Step-by-step explanation:

Hope this will help you

Step-by-step explanation:

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.