Question

Acamp has sufficient provisions for 120 soldiers. Ifafter 40 days, 40 soldiers were
deputed elsewhere, how long will the remaining provisions last for the remaining
soldiers?find in how many days​

Answer 1

Answer:

Number of troops to begin with 40 .. total rations available for 20 days.After 5 days., 25% of the rations would have been consumed.40 troops would consume the remaining rations (75%) in 15 days.Adding 10 additional troops, the number would increase to 50 and that means rations would be consumed faster.

40 troops = 15 days

50 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

50 * d = 40 * 15

or

d = 40 * 15/50 or d = 12 days.