Multiple choice

Two workers can do half of the work in $30$ days. In how many days can $3$ workers complete the entire work?

  1. $40$
  2. $50$
  3. $30$
  4. $10$
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A Correct answer
Explanation

If 2 workers do 1/2 the work in 30 days, they would do the whole work in 60 days. Thus, 1 worker takes 120 days. 3 workers will take 120/3 = 40 days.

AI explanation

If 2 workers can do half of the work in 30 days, they would complete the full work in 60 days. Using the man-days formula, the total work is 2 workers multiplied by 60 days, which equals 120 worker-days. To find how long it takes 3 workers to complete this work, divide the 120 worker-days by 3 workers. The result is 40 days.

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