Multiple choice

If one man or two women or three boys can do a piece of work in 22 days, then the same piece of work will be done by 1 man, 1 boy and 1 woman in

  1. $8$ days
  2. $12$ days
  3. $6$ days
  4. $11$ days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If 1 man, 2 women, or 3 boys take 22 days, their daily work rates are 1/22, 1/44, and 1/66 of the total work respectively. The combined rate of 1 man, 1 woman, and 1 boy is (1/22 + 1/44 + 1/66) = (6+3+2)/132 = 11/132 = 1/12. Thus, they complete the work in 12 days.

AI explanation

Given that one man, two women, or three boys each complete the work in 22 days, their daily work capacities are 1 divided by 22, 1 divided by 44, and 1 divided by 66 respectively. The combined one day work of one man, one woman, and one boy is 1 divided by 22 plus 1 divided by 44 plus 1 divided by 66. Finding a common denominator of 132, this sum becomes 6 divided by 132 plus 3 divided by 132 plus 2 divided by 132, which equals 11 divided by 132 or 1 divided by 12. Therefore, working together, they will complete the work in 12 days.

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