Multiple choice

16 men can do a piece of work in 16 days. 4 days after they started the work 8 more men joined them. How many days will they now take to complete the remaining work?

  1. $10\ days$
  2. $6\ days$
  3. $8\ days$
  4. $12\ days$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = 16 * 16 = 256 man-days. Work done in 4 days = 16 * 4 = 64 man-days. Remaining work = 256 - 64 = 192 man-days. New number of men = 16 + 8 = 24. Days to complete remaining work = 192 / 24 = 8 days.

AI explanation

The total work equals 16 men multiplied by 16 days, which gives 256 man-days. In 4 days, the 16 men complete 64 man-days, leaving 192 man-days of remaining work. With 24 total men now working, dividing 192 man-days by 24 men results in 8 days to complete the job.