A camp had enough food to last 600 workers for 40 days. After 8 days, 300 additional workers joined the camp.
Consider the following statements:
Statement I: The food consumed in the first 8 days is equal to the amount required for 4800 worker-days.
Statement II: After the additional workers joined, the remaining food will last for 20 more days.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

Question

A camp had enough food to last 600 workers for 40 days. After 8 days, 300 additional workers joined the camp.
Consider the following statements:
Statement I: The food consumed in the first 8 days is equal to the amount required for 4800 worker-days.
Statement II: After the additional workers joined, the remaining food will last for 20 more days.

Select the correct answer from below:
(a) Only Statement I is correct.
(b) Only Statement II is correct.
(c) Both Statements I and II are correct.
(d) None of the Statements is correct.

ONLiNE UPSC · Accepted Answer

Total food = 600 workers &times; 40 days = 24,000 worker-days
Food consumed in first 8 days = 600 &times; 8 = 4,800 worker-days
Remaining food = 24,000 &minus; 4,800 = 19,200 worker-days
After 8 days, number of workers = 600 + 300 = 900
Remaining days = 19,200 &divide; 900 = 21.33 days
So:
Statement I: 600 workers &times; 8 days = 4800 worker-days &rarr; Correct
Statement II: Remaining food lasts 20 days &rarr; Incorrect (It actually lasts 21.33 days)

Hence, option a is correct.

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M Question 1	⏱ 0
A camp had enough food to last 600 workers for 40 days. After 8 days, 300 additional workers joined the camp. Consider the following statements: Statement I: The food consumed in the first 8 days is equal to the amount required for 4800 worker-days. Statement II: After the additional workers joined, the remaining food will last for 20 more days. Select the correct answer from below: (a) Only Statement I is correct. (b) Only Statement II is correct. (c) Both Statements I and II are correct. (d) None of the Statements is correct.