Multiple choice

A group of workers can complete a job in 16 days. However, if 4 more workers join the group, they can complete the job in 12 days. How many workers were initially in the group?

  1. 8

  2. 10

  3. 12

  4. 14

  5. 16
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial workers be W. Total work = 16W. With 4 more workers, time = 12 days. Total work = 12(W+4). 16W = 12W + 48, so 4W = 48, W = 12.

AI explanation

Using the man-days formula, let the initial number of workers be N, so the total work is 16N. When 4 more workers join, the team of N + 4 workers takes 12 days, giving the equation 16N = 12(N + 4). Solving this, 16N = 12N + 48, which means 4N = 48, so the initial number of workers is 12.

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