Multiple choice

A certain job was assigned to a group of men to complete it in 20 days, but 12 men did not turn up for the job and the remaining men did the job in 32 days. The original number of men in the group was

  1. 32

  2. 34

  3. 36

  4. 40

  5. None of these
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A Correct answer
Explanation

Let original men be M. Work = M * 20. New men = M - 12. Work = (M - 12) * 32. 20M = 32M - 384. 12M = 384. M = 32.

AI explanation

Using the constant work formula where the original number of men multiplied by 20 days equals the reduced number of men multiplied by 32 days, let the original number of men be x. Since 12 men did not turn up, the equation becomes 20x equals 32 times (x minus 12). Expanding and solving gives 20x equals 32x minus 384, which simplifies to 12x equals 384, resulting in x equaling 32. The original number of men in the group was 32.

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