Multiple choice

20 women can do a piece of work in 16 days, while 16 men can complete the same work in 15 days. What is the ratio of the efficiency of a man to that of a woman?

  1. 3 : 4

  2. 4 : 3

  3. 5 : 3

  4. Data inadequate
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

20W * 16 = 16M * 15. 320W = 240M. M/W = 320/240 = 4/3.

AI explanation

Assume the total work is the least common multiple of 16 and 15, which is 240 units. The daily work of 20 women is 240 divided by 16, or 15 units, making the daily work of one woman 3/4 units. The daily work of 16 men is 240 divided by 15, or 16 units, making the daily work of one man 1 unit. The ratio of the efficiency of a man to a woman is 1 divided by 3/4, which is 4:3.

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