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At an inn there are provisions sufficient for 20 days for 40 people. At the end of every 10 days 5 people leave off. How many days the provision will be sufficient for new?

Correct answer: D. none

  • A. 20
  • B. 40
  • C. 30
  • D. none

Explanation

The provisions equal 40 people × 20 days = 800 person-days. The first 10 days use 400 person-days, and the next 10 days use 35 × 10 = 350 person-days, leaving 50 person-days; with 30 people remaining, this lasts 50 ÷ 30 = 1 2/3 days, for a total of 21 2/3 days. The likely mistake is choosing 30 days by treating the population as constant, while option d correctly represents that none of the numerical answers is right.

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