Multiple choice

$12$ children take $16$ days to complete a work which can be complete by $8$ adults in $12$ days. $16$ adults started working and after $3$ days $10$ adults left and $4$ children joined them . How many days will it take them to complete the remaining work ?


  1. $6$
  2. $8$
  3. $4$
  4. $3$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

12 children * 16 days = 192 child-days. 8 adults * 12 days = 96 adult-days. So 1 adult = 2 children. Total work = 96 adult-days. 16 adults work for 3 days = 48 adult-days. Remaining work = 48 adult-days. New team: 6 adults (16-10) + 4 children (2 adults) = 8 adults. Days = 48 / 8 = 6 days.

AI explanation

Given 12 children take 16 days and 8 adults take 12 days, the total work can be expressed as 192 child-days or 96 adult-days, meaning 1 adult equals 2 children. The total work is 96 adult-days, and 16 adults working for 3 days complete 48 adult-days of work, leaving 48 adult-days of remaining work. After 3 days, there are 6 adults and 4 children left, which is equivalent to 6 adults plus 2 adults, equaling 8 adults. The time taken to complete the remaining work is 48 adult-days divided by 8 adults, resulting in 6 days.

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