Multiple choice

25 women can do a piece of work in 20 days. 20 men can complete the same work in 19 days. What is the ratio of the efficiency of a man to that of a woman?

  1. 5 : 38

  2. 25 : 19

  3. 20 : 18

  4. 27 : 23

  5. data inadequate
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total work is constant. 25 women * 20 days = 500 woman-days. 20 men * 19 days = 380 man-days. Since the work is the same, 380M = 500W, so M/W = 500/380 = 50/38 = 25/19.

AI explanation

The total work can be calculated as the number of workers multiplied by the days they take, giving 25 women times 20 days (500 units) and 20 men times 19 days (380 units). Since the work is the same, the ratio of a man's efficiency to a woman's efficiency is inversely proportional to the total worker-days required. This inverse ratio is 500:380, which simplifies by dividing by 20 to 25:19.

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