csatmedium
In a garrison, there was food for 1000 soldiers for one month. After 10 days, 1000 more soldiers joined the garrison. How long would the soldiers be able to carry on with the remaining food?
- A.25 days
- B.20 days
- C.15 days
- D.10 days
▶ Answer & Explanation
Correct answer: D. 10 days
The initial food stock was sufficient for 1000 soldiers for 30 days. After 10 days, the food consumed is equivalent to 1000 soldiers * 10 days = 10000 soldier-days. The remaining food is for 1000 soldiers * (30-10) days = 20000 soldier-days. When 1000 more soldiers join, the total number of soldiers becomes 2000. The remaining food will last for 20000 soldier-days / 2000 soldiers = 10 days.
Source: UPSC csat 2013