Question

An army camp of 120 soldiers has enough ration to last 50 days. If 40 more soldiers join the camp after 10 days, how long will the remaining ration last.​

Answer 1

Number of troops to begin with 120. total rations available for 50 days. After 10days., 30% of the rations would have been consumed.120 troops would consume the remaining rations (75%) in 15 days.Adding 40 additional troops, the

number would increase to 160 and that

means rations would be consumed faster.

120 troops = 50 days

160 troops = ? days

Since the number of days are inversely proportional to the number of troops., we can compute the number of days the pending rations (d) would last as

d=120*50/160 or d=25 days d = 40 * 15/50 or d = 12 days.