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WBCS Preliminary Examination 2022 — General Studies · Question 198 of 200

Q198
ArithmeticTime & Work, Pipes & Cisterns
In a camp there was food for 190 days of 4000 men. After 30 days 800 men left. Remaining men will spend the remaining food in how many days?
  1. a.250 days
  2. b.230 days
  3. c.200 days
  4. d.170 days

Answer: (C) 200 days

Food consumed in 30 days by 4000 men = 30 × 4000 = 120,000 man-days. Remaining food = 190 × 4000 − 120,000 = 760,000 − 120,000 = 640,000 man-days. After 30 days, remaining men = 4000 − 800 = 3200. Days = $\frac{640000}{3200} = 200$ days.