Eight men and 24 women can finish a piece of work in one day while 12 men and 18 women can also finish it in one day. What is the time taken by 24 men and 72 women to finish the work ?

  1. A. \frac{1}{3} of a day
  2. B. \frac{2}{3} of a day
  3. C. 3 days
  4. D. \frac{9}{2} days

Correct Answer: A. \frac{1}{3} of a day

Explanation

The target workforce (24 men and 72 women) is exactly 3 times the original workforce (8 men and 24 women). Since efficiency is tripled, the time required will be one-third, meaning \frac{1}{3} of a day.

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