Multiple choice

Sixteen women take 12 days to complete a piece of work, which can be completed by 12 men in 8 days. Sixteen men start working and after 3 days, 10 men leave and 4 women join them. How many days will it take them to complete the remaining work?

  1. 4

  2. 6

  3. 8

  4. 10
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

16 women * 12 days = 192 woman-days. 12 men * 8 days = 96 man-days. 1 man = 2 women. 16 men start, after 3 days they do 16*3=48 man-units. Remaining = 96-48=48 man-units = 96 woman-units. New group: 6 men + 4 women = 12+4=16 women. 96/16 = 6 days.

AI explanation

16 women take 12 days, so 12 men equal 16 women in capacity, meaning 1 man equals 4/3 women. 16 men work for 3 days, completing the equivalent of 36 man-days, leaving 60 man-days of work. 6 men and 4 women equal 8 and 1/3 men; dividing 60 by 8 and 1/3 gives 6 more days to finish the work.

Keep practicing — related questions