Originally Posted by

**rn5a** Thanks mate for your help. I have some doubts lingering in my mind.....

Suppose I re-phrase the question:

A garrison of 500 men has provision for 30 days. If 100 more men join the garrison, for how many days will the provison last now?

This is how I would go about it:

Let the no. of days be d. Thus,

500 X 30 = (500 + 100) X d

15000 = 600d

d = 25

This is how I usually do it. Now coming back to my first question & your solution:

At the end of the first 5 days, 120 men have 25 days of provision left. Thus the solution will be the following:

Let the no. of days be d. Thus

120 X (30-5) = (120 + 5) X d

120 X 25 = 125d

d = 24

Have I got it right?

Thanks,

Ron