Multiple choice

10 women can do a piece of work in 6 days, 6 men can do the same work in 5 days and 8 children can do it in 10 days. What is the ratio of the efficiency of a woman, a man and a child, respectively?

  1. 4 : 6 : 3

  2. 4 : 5 : 3

  3. 2 : 4 : 3

  4. 4 : 8 : 3

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Work = 1. Woman's rate = 1/60. Man's rate = 1/30. Child's rate = 1/80. Ratio = 1/60 : 1/30 : 1/80. Multiply by 240: 4 : 8 : 3.

AI explanation

Using the total work constant method, let the total work be the least common multiple of the given days, which is 60 units. A woman completes 1 unit per day, a man completes 2 units per day, and a child completes 0.75 units per day. To remove fractions, multiply these daily capacities by 4 to get the ratio. The resulting efficiency ratio of a woman to a man to a child is 4 is to 8 is to 3.